Full power uplink transmission for advanced wireless communication systems

ABSTRACT

A method of a user equipment (UE) for an uplink (UL) transmission is provided. The method comprises transmitting, to a base station (BS), UE capability information including a full power transmission capability of the UE, receiving, from the BS, configuration information indicating an UL codebook, identifying the UL codebook to use for the UL transmission based on the configuration information, and transmitting, to the BS, the UL transmission based on the UL codebook, where the UL codebook for l layers includes K l  full power transmit precoding matrix indicators (TPMIs) and remaining non-full power TPMIs, where a TPMI indicates a precoding matrix for UL transmission and l indicates a rank value.

CROSS-REFERENCE TO RELATED APPLICATIONS AND CLAIM OF PRIORITY

This application is a continuation of U.S. patent application Ser. No.16/703,677, filed on Dec. 4, 2019, which claims priority to U.S.Provisional Patent Application No. 62/776,072, filed on Dec. 6, 2018,U.S. Provisional Patent Application No. 62/904,910 filed on Sep. 24,2019, and U.S. Provisional Patent Application No. 62/923,021 filed onOct. 18, 2019. The content of the above-identified patent documents isincorporated herein by reference.

TECHNICAL FIELD

The present disclosure relates generally to codebook selection to enableUL MIMO operation for next generation cellular systems.

BACKGROUND

Understanding and correctly estimating the UL channel between a userequipment (UE) and a gNode B (gNB) is important for efficient andeffective wireless communication. In order to correctly estimate the ULchannel conditions, the UE may transmit reference signal, e.g., SRS, tothe gNB for UL channel measurement. With this UL channel measurement,the gNB is able to select appropriate communication parameters toefficiently and effectively perform wireless data communication with theUE in the UL.

SUMMARY

Embodiments of the present disclosure provide methods and apparatusesfor codebook selection to enable UL MIMO operation in an advancedwireless communication system.

In one embodiment, a user equipment (UE) for an uplink (UL) transmissionis provided. The UE includes a transceiver configured to transmit, to abase station (BS), UE capability information including a full powertransmission capability of the UE, and to receive, from the BS,configuration information indicating an UL codebook. The UE furtherincludes a processor operably connected to the transceiver, theprocessor configured to identify the UL codebook to use for the ULtransmission based on the configuration information. The transceiver isfurther configured to transmit, to the BS, the UL transmission based onthe UL codebook, where the UL codebook for l layers includes K_(l) fullpower transmit precoding matrix indicators (TPMIs) and remainingnon-full power TPMIs, where a TPMI indicates a precoding matrix for ULtransmission and l indicates a rank value.

In another embodiment, a base station (BS) is provided. The BS includesa transceiver configured to receive, from a user equipment (UE), UEcapability information including a full power transmission capability ofthe UE. The BS further includes processor operably connected to thetransceiver, the processor configured to determine configurationinformation indicating an uplink (UL) codebook for the UE to apply to aUL transmission. The transceiver is further configured to transmit, tothe UE, the configuration information indicating the UL codebook for theUL transmission, and to receive, from the UE, the UL transmission basedon the UL codebook, where the UL codebook for l layers includes K_(l)full power transmit precoding matrix indicators (TPMIs) and remainingnon-full power TPMIs, where a TPMI indicates a precoding matrix for ULtransmission and l indicates a rank value.

In yet another embodiment, a method for operating a user equipment (UE)for an uplink (UL) transmission is provided. The method comprisestransmitting, to a base station (BS), UE capability informationincluding a full power transmission capability of the UE, receiving,from the BS, configuration information indicating a UL codebook,identifying the UL codebook to use for the UL transmission based on theconfiguration information, and transmitting, to the BS, the ULtransmission based on the UL codebook, where the UL codebook for llayers includes K_(l) full power transmit precoding matrix indicators(TPMIs) and remaining non-full power TPMIs, where a TPMI indicates aprecoding matrix for UL transmission and l indicates a rank value.

Other technical features may be readily apparent to one skilled in theart from the following figures, descriptions, and claims.

Before undertaking the DETAILED DESCRIPTION below, it may beadvantageous to set forth definitions of certain words and phrases usedthroughout this patent document. The term “couple” and its derivativesrefer to any direct or indirect communication between two or moreelements, whether or not those elements are in physical contact with oneanother. The terms “transmit,” “receive,” and “communicate,” as well asderivatives thereof, encompass both direct and indirect communication.The terms “include” and “comprise,” as well as derivatives thereof, meaninclusion without limitation. The term “or” is inclusive, meaningand/or. The phrase “associated with,” as well as derivatives thereof,means to include, be included within, interconnect with, contain, becontained within, connect to or with, couple to or with, be communicablewith, cooperate with, interleave, juxtapose, be proximate to, be boundto or with, have, have a property of, have a relationship to or with, orthe like. The term “controller” means any device, system or part thereofthat controls at least one operation. Such a controller may beimplemented in hardware or a combination of hardware and software and/orfirmware. The functionality associated with any particular controllermay be centralized or distributed, whether locally or remotely. Thephrase “at least one of,” when used with a list of items, means thatdifferent combinations of one or more of the listed items may be used,and only one item in the list may be needed. For example, “at least oneof: A, B, and C” includes any of the following combinations: A, B, C, Aand B, A and C, B and C, and A and B and C.

Moreover, various functions described below can be implemented orsupported by one or more computer programs, each of which is formed fromcomputer readable program code and embodied in a computer readablemedium. The terms “application” and “program” refer to one or morecomputer programs, software components, sets of instructions,procedures, functions, objects, classes, instances, related data, or aportion thereof adapted for implementation in a suitable computerreadable program code. The phrase “computer readable program code”includes any type of computer code, including source code, object code,and executable code. The phrase “computer readable medium” includes anytype of medium capable of being accessed by a computer, such as readonly memory (ROM), random access memory (RAM), a hard disk drive, acompact disc (CD), a digital video disc (DVD), or any other type ofmemory. A “non-transitory” computer readable medium excludes wired,wireless, optical, or other communication links that transporttransitory electrical or other signals. A non-transitory computerreadable medium includes media where data can be permanently stored andmedia where data can be stored and later overwritten, such as arewritable optical disc or an erasable memory device.

Definitions for other certain words and phrases are provided throughoutthis patent document. Those of ordinary skill in the art shouldunderstand that in many if not most instances, such definitions apply toprior as well as future uses of such defined words and phrases.

BRIEF DESCRIPTION OF THE DRAWINGS

For a more complete understanding of the present disclosure and itsadvantages, reference is now made to the following description taken inconjunction with the accompanying drawings, in which like referencenumerals represent like parts:

FIG. 1 illustrates an example wireless network according to embodimentsof the present disclosure;

FIG. 2 illustrates an example gNB according to embodiments of thepresent disclosure;

FIG. 3 illustrates an example UE according to embodiments of the presentdisclosure;

FIG. 4A illustrates a high-level diagram of an orthogonal frequencydivision multiple access transmit path according to embodiments of thepresent disclosure;

FIG. 4B illustrates a high-level diagram of an orthogonal frequencydivision multiple access receive path according to embodiments of thepresent disclosure;

FIG. 5 illustrates a transmitter block diagram for a PDSCH in a subframeaccording to embodiments of the present disclosure;

FIG. 6 illustrates a receiver block diagram for a PDSCH in a subframeaccording to embodiments of the present disclosure;

FIG. 7 illustrates a transmitter block diagram for a PUSCH in a subframeaccording to embodiments of the present disclosure;

FIG. 8 illustrates a receiver block diagram for a PUSCH in a subframeaccording to embodiments of the present disclosure;

FIG. 9 illustrates an example multiplexing of two slices according toembodiments of the present disclosure;

FIG. 10 illustrates an example antenna blocks according to embodimentsof the present disclosure;

FIG. 11 illustrates an example network configuration according toembodiments of the present disclosure;

FIG. 12 illustrates a flow chart of a method for transmitting an ULtransmission based on an UL codebook, as may be performed by a userequipment (UE), according to embodiments of the present disclosure; and

FIG. 13 illustrates a flow chart of another method for receiving an ULtransmission based on an UL codebook, as may be performed by a basestation (BS), according to embodiments of the present disclosure.

DETAILED DESCRIPTION

FIG. 1 through FIG. 13 , discussed below, and the various embodimentsused to describe the principles of the present disclosure in this patentdocument are by way of illustration only and should not be construed inany way to limit the scope of the disclosure. Those skilled in the artwill understand that the principles of the present disclosure may beimplemented in any suitably arranged system or device.

The following documents and standards descriptions are herebyincorporated by reference into the present disclosure as if fully setforth herein: 3GPP TS 36.211 v15.7.0, “E-UTRA, Physical channels andmodulation;” 3GPP TS 36.212 v15.7.0, “E-UTRA, Multiplexing and Channelcoding;” 3GPP TS 36.213 v15.7.0, “E-UTRA, Physical Layer Procedures;”3GPP TS 36.321 v15.7.0, “E-UTRA, Medium Access Control (MAC) protocolspecification;” 3GPP TS 36.331 v15.7.0, “E-UTRA, Radio Resource Control(RRC) protocol specification;” 3GPP TR 22.891 v14.2.0; 3GPP TS 38.211v15.7.0, “E-UTRA, NR, Physical channels and modulation;” 3GPP TS 38.213v15.7.0, “E-UTRA, NR, Physical Layer Procedures for control;” 3GPP TS38.214 v15.7.0, “E-UTRA, NR, Physical layer procedures for data;” and3GPP TS 38.212 v15.7.0, “E-UTRA, NR, Multiplexing and channel coding.”

Aspects, features, and advantages of the disclosure are readily apparentfrom the following detailed description, simply by illustrating a numberof particular embodiments and implementations, including the best modecontemplated for carrying out the disclosure. The disclosure is alsocapable of other and different embodiments, and its several details canbe modified in various obvious respects, all without departing from thespirit and scope of the disclosure. Accordingly, the drawings anddescription are to be regarded as illustrative in nature, and not asrestrictive. The disclosure is illustrated by way of example, and not byway of limitation, in the figures of the accompanying drawings.

In the following, for brevity, both FDD and TDD are considered as theduplex method for both DL and UL signaling.

Although exemplary descriptions and embodiments to follow assumeorthogonal frequency division multiplexing (OFDM) or orthogonalfrequency division multiple access (OFDMA), this disclosure can beextended to other OFDM-based transmission waveforms or multiple accessschemes such as filtered OFDM (F-OFDM).

The present disclosure covers several components which can be used inconjunction or in combination with one another, or can operate asstandalone schemes.

To meet the demand for wireless data traffic having increased sincedeployment of 4G communication systems, efforts have been made todevelop an improved 5G or pre-5G communication system. Therefore, the 5Gor pre-5G communication system is also called a “beyond 4G network” or a“post LTE system.”

The 5G communication system is considered to be implemented in higherfrequency (mmWave) bands, e.g., 60 GHz bands, so as to accomplish higherdata rates. To decrease propagation loss of the radio waves and increasethe transmission coverage, the beamforming, massive multiple-inputmultiple-output (MIMO), full dimensional MIMO (FD-MIMO), array antenna,an analog beam forming, large scale antenna techniques and the like arediscussed in 5G communication systems.

In addition, in 5G communication systems, development for system networkimprovement is under way based on advanced small cells, cloud radioaccess networks (RANs), ultra-dense networks, device-to-device (D2D)communication, wireless backhaul communication, moving network,cooperative communication, coordinated multi-points (CoMP) transmissionand reception, interference mitigation and cancellation and the like.

In the 5G system, hybrid frequency shift keying and quadrature amplitudemodulation (FQAM) and sliding window superposition coding (SWSC) as anadaptive modulation and coding (AMC) technique, and filter bank multicarrier (FBMC), non-orthogonal multiple access (NOMA), and sparse codemultiple access (SCMA) as an advanced access technology have beendeveloped.

FIGS. 1-4B below describe various embodiments implemented in wirelesscommunications systems and with the use of orthogonal frequency divisionmultiplexing (OFDM) or orthogonal frequency division multiple access(OFDMA) communication techniques. The descriptions of FIGS. 1-3 are notmeant to imply physical or architectural limitations to the manner inwhich different embodiments may be implemented. Different embodiments ofthe present disclosure may be implemented in any suitably-arrangedcommunications system.

FIG. 1 illustrates an example wireless network according to embodimentsof the present disclosure. The embodiment of the wireless network shownin FIG. 1 is for illustration only. Other embodiments of the wirelessnetwork 100 could be used without departing from the scope of thisdisclosure.

As shown in FIG. 1 , the wireless network includes a gNB 101, a gNB 102,and a gNB 103. The gNB 101 communicates with the gNB 102 and the gNB103. The gNB 101 also communicates with at least one network 130, suchas the Internet, a proprietary Internet Protocol (IP) network, or otherdata network.

The gNB 102 provides wireless broadband access to the network 130 for afirst plurality of user equipments (UEs) within a coverage area 120 ofthe gNB 102. The first plurality of UEs includes a UE 111, which may belocated in a small business (SB); a UE 112, which may be located in anenterprise (E); a UE 113, which may be located in a WiFi hotspot (HS); aUE 114, which may be located in a first residence (R); a UE 115, whichmay be located in a second residence (R); and a UE 116, which may be amobile device (M), such as a cell phone, a wireless laptop, a wirelessPDA, or the like. The gNB 103 provides wireless broadband access to thenetwork 130 for a second plurality of UEs within a coverage area 125 ofthe gNB 103. The second plurality of UEs includes the UE 115 and the UE116. In some embodiments, one or more of the gNBs 101-103 maycommunicate with each other and with the UEs 111-116 using 5G, LTE,LTE-A, WiMAX, WiFi, or other wireless communication techniques.

Depending on the network type, the term “base station” or “BS” can referto any component (or collection of components) configured to providewireless access to a network, such as transmit point (TP),transmit-receive point (TRP), an enhanced base station (eNodeB or eNB),a 5G base station (gNB), a macrocell, a femtocell, a WiFi access point(AP), or other wirelessly enabled devices. Base stations may providewireless access in accordance with one or more wireless communicationprotocols, e.g., 5G 3GPP new radio interface/access (NR), long termevolution (LTE), LTE advanced (LTE-A), high speed packet access (HSPA),Wi-Fi 802.11a/b/g/n/ac, etc. For the sake of convenience, the terms “BS”and “TRP” are used interchangeably in this patent document to refer tonetwork infrastructure components that provide wireless access to remoteterminals. Also, depending on the network type, the term “userequipment” or “UE” can refer to any component such as “mobile station,”“subscriber station,” “remote terminal,” “wireless terminal,” “receivepoint,” or “user device.” For the sake of convenience, the terms “userequipment” and “UE” are used in this patent document to refer to remotewireless equipment that wirelessly accesses a BS, whether the UE is amobile device (such as a mobile telephone or smartphone) or is normallyconsidered a stationary device (such as a desktop computer or vendingmachine).

Dotted lines show the approximate extents of the coverage areas 120 and125, which are shown as approximately circular for the purposes ofillustration and explanation only. It should be clearly understood thatthe coverage areas associated with gNBs, such as the coverage areas 120and 125, may have other shapes, including irregular shapes, dependingupon the configuration of the gNBs and variations in the radioenvironment associated with natural and man-made obstructions.

As described in more detail below, one or more of the UEs 111-116include circuitry, programing, or a combination thereof, for an ULtransmission based on an UL codebook in an advanced wirelesscommunication system. In certain embodiments, and one or more of thegNBs 101-103 includes circuitry, programing, or a combination thereof,to facilitate an UL transmission based on an UL codebook in an advancedwireless communication system.

Although FIG. 1 illustrates one example of a wireless network, variouschanges may be made to FIG. 1 . For example, the wireless network couldinclude any number of gNBs and any number of UEs in any suitablearrangement. Also, the gNB 101 could communicate directly with anynumber of UEs and provide those UEs with wireless broadband access tothe network 130. Similarly, each gNB 102-103 could communicate directlywith the network 130 and provide UEs with direct wireless broadbandaccess to the network 130. Further, the gNBs 101, 102, and/or 103 couldprovide access to other or additional external networks, such asexternal telephone networks or other types of data networks.

FIG. 2 illustrates an example gNB 102 according to embodiments of thepresent disclosure. The embodiment of the gNB 102 illustrated in FIG. 2is for illustration only, and the gNBs 101 and 103 of FIG. 1 could havethe same or similar configuration. However, gNBs come in a wide varietyof configurations, and FIG. 2 does not limit the scope of thisdisclosure to any particular implementation of a gNB.

As shown in FIG. 2 , the gNB 102 includes multiple antennas 205 a-205 n,multiple RF transceivers 210 a-210 n, transmit (TX) processing circuitry215, and receive (RX) processing circuitry 220. The gNB 102 alsoincludes a controller/processor 225, a memory 230, and a backhaul ornetwork interface 235.

The RF transceivers 210 a-210 n receive, from the antennas 205 a-205 n,incoming RF signals, such as signals transmitted by UEs in the network100. The RF transceivers 210 a-210 n down-convert the incoming RFsignals to generate IF or baseband signals. The IF or baseband signalsare sent to the RX processing circuitry 220, which generates processedbaseband signals by filtering, decoding, and/or digitizing the basebandor IF signals. The RX processing circuitry 220 transmits the processedbaseband signals to the controller/processor 225 for further processing.

The TX processing circuitry 215 receives analog or digital data (such asvoice data, web data, e-mail, or interactive video game data) from thecontroller/processor 225. The TX processing circuitry 215 encodes,multiplexes, and/or digitizes the outgoing baseband data to generateprocessed baseband or IF signals. The RF transceivers 210 a-210 nreceive the outgoing processed baseband or IF signals from the TXprocessing circuitry 215 and up-converts the baseband or IF signals toRF signals that are transmitted via the antennas 205 a-205 n.

The controller/processor 225 can include one or more processors or otherprocessing devices that control the overall operation of the gNB 102.For example, the controller/processor 225 could control the reception offorward channel signals and the transmission of reverse channel signalsby the RF transceivers 210 a-210 n, the RX processing circuitry 220, andthe TX processing circuitry 215 in accordance with well-knownprinciples. The controller/processor 225 could support additionalfunctions as well, such as more advanced wireless communicationfunctions.

For instance, the controller/processor 225 could support beam forming ordirectional routing operations in which outgoing signals from multipleantennas 205 a-205 n are weighted differently to effectively steer theoutgoing signals in a desired direction. Any of a wide variety of otherfunctions could be supported in the gNB 102 by the controller/processor225.

The controller/processor 225 is also capable of executing programs andother processes resident in the memory 230, such as an OS. Thecontroller/processor 225 can move data into or out of the memory 230 asrequired by an executing process.

The controller/processor 225 is also coupled to the backhaul or networkinterface 235. The backhaul or network interface 235 allows the gNB 102to communicate with other devices or systems over a backhaul connectionor over a network. The interface 235 could support communications overany suitable wired or wireless connection(s). For example, when the gNB102 is implemented as part of a cellular communication system (such asone supporting 5G, LTE, or LTE-A), the interface 235 could allow the gNB102 to communicate with other gNBs over a wired or wireless backhaulconnection. When the gNB 102 is implemented as an access point, theinterface 235 could allow the gNB 102 to communicate over a wired orwireless local area network or over a wired or wireless connection to alarger network (such as the Internet). The interface 235 includes anysuitable structure supporting communications over a wired or wirelessconnection, such as an Ethernet or RF transceiver.

The memory 230 is coupled to the controller/processor 225. Part of thememory 230 could include a RAM, and another part of the memory 230 couldinclude a Flash memory or other ROM.

Although FIG. 2 illustrates one example of gNB 102, various changes maybe made to FIG. 2 . For example, the gNB 102 could include any number ofeach component shown in FIG. 2 . As a particular example, an accesspoint could include a number of interfaces 235, and thecontroller/processor 225 could support routing functions to route databetween different network addresses. As another particular example,while shown as including a single instance of TX processing circuitry215 and a single instance of RX processing circuitry 220, the gNB 102could include multiple instances of each (such as one per RFtransceiver). Also, various components in FIG. 2 could be combined,further subdivided, or omitted and additional components could be addedaccording to particular needs.

FIG. 3 illustrates an example UE 116 according to embodiments of thepresent disclosure. The embodiment of the UE 116 illustrated in FIG. 3is for illustration only, and the UEs 111-115 of FIG. 1 could have thesame or similar configuration. However, UEs come in a wide variety ofconfigurations, and FIG. 3 does not limit the scope of this disclosureto any particular implementation of a UE.

As shown in FIG. 3 , the UE 116 includes an antenna 305, a radiofrequency (RF) transceiver 310, TX processing circuitry 315, amicrophone 320, and receive (RX) processing circuitry 325. The UE 116also includes a speaker 330, a processor 340, an input/output (I/O)interface (IF) 345, a touchscreen 350, a display 355, and a memory 360.The memory 360 includes an operating system (OS) 361 and one or moreapplications 362.

The RF transceiver 310 receives, from the antenna 305, an incoming RFsignal transmitted by a gNB of the network 100. The RF transceiver 310down-converts the incoming RF signal to generate an intermediatefrequency (IF) or baseband signal. The IF or baseband signal is sent tothe RX processing circuitry 325, which generates a processed basebandsignal by filtering, decoding, and/or digitizing the baseband or IFsignal. The RX processing circuitry 325 transmits the processed basebandsignal to the speaker 330 (such as for voice data) or to the processor340 for further processing (such as for web browsing data).

The TX processing circuitry 315 receives analog or digital voice datafrom the microphone 320 or other outgoing baseband data (such as webdata, e-mail, or interactive video game data) from the processor 340.The TX processing circuitry 315 encodes, multiplexes, and/or digitizesthe outgoing baseband data to generate a processed baseband or IFsignal. The RF transceiver 310 receives the outgoing processed basebandor IF signal from the TX processing circuitry 315 and up-converts thebaseband or IF signal to an RF signal that is transmitted via theantenna 305.

The processor 340 can include one or more processors or other processingdevices and execute the OS 361 stored in the memory 360 in order tocontrol the overall operation of the UE 116. For example, the processor340 could control the reception of forward channel signals and thetransmission of reverse channel signals by the RF transceiver 310, theRX processing circuitry 325, and the TX processing circuitry 315 inaccordance with well-known principles. In some embodiments, theprocessor 340 includes at least one microprocessor or microcontroller.

The processor 340 is also capable of executing other processes andprograms resident in the memory 360, such as processes for ULtransmission on uplink channel. The processor 340 can move data into orout of the memory 360 as required by an executing process. In someembodiments, the processor 340 is configured to execute the applications362 based on the OS 361 or in response to signals received from gNBs oran operator. The processor 340 is also coupled to the I/O interface 345,which provides the UE 116 with the ability to connect to other devices,such as laptop computers and handheld computers. The I/O interface 345is the communication path between these accessories and the processor340.

The processor 340 is also coupled to the touchscreen 350 and the display355. The operator of the UE 116 can use the touchscreen 350 to enterdata into the UE 116. The display 355 may be a liquid crystal display,light emitting diode display, or other display capable of rendering textand/or at least limited graphics, such as from web sites.

The memory 360 is coupled to the processor 340. Part of the memory 360could include a random access memory (RAM), and another part of thememory 360 could include a Flash memory or other read-only memory (ROM).

Although FIG. 3 illustrates one example of UE 116, various changes maybe made to FIG. 3 . For example, various components in FIG. 3 could becombined, further subdivided, or omitted and additional components couldbe added according to particular needs. As a particular example, theprocessor 340 could be divided into multiple processors, such as one ormore central processing units (CPUs) and one or more graphics processingunits (GPUs). Also, while FIG. 3 illustrates the UE 116 configured as amobile telephone or smartphone, UEs could be configured to operate asother types of mobile or stationary devices.

FIG. 4A is a high-level diagram of transmit path circuitry. For example,the transmit path circuitry may be used for an orthogonal frequencydivision multiple access (OFDMA) communication. FIG. 4B is a high-leveldiagram of receive path circuitry. For example, the receive pathcircuitry may be used for an orthogonal frequency division multipleaccess (OFDMA) communication. In FIGS. 4A and 4B, for downlinkcommunication, the transmit path circuitry may be implemented in a basestation (gNB) 102 or a relay station, and the receive path circuitry maybe implemented in a user equipment (e.g., user equipment 116 of FIG. 1). In other examples, for uplink communication, the receive pathcircuitry 450 may be implemented in a base station (e.g., gNB 102 ofFIG. 1 ) or a relay station, and the transmit path circuitry may beimplemented in a user equipment (e.g., user equipment 116 of FIG. 1 ).

Transmit path circuitry comprises channel coding and modulation block405, serial-to-parallel (S-to-P) block 410, Size N Inverse Fast FourierTransform (IFFT) block 415, parallel-to-serial (P-to-S) block 420, addcyclic prefix block 425, and up-converter (UC) 430. Receive pathcircuitry 450 comprises down-converter (DC) 455, remove cyclic prefixblock 460, serial-to-parallel (S-to-P) block 465, Size N Fast FourierTransform (FFT) block 470, parallel-to-serial (P-to-S) block 475, andchannel decoding and demodulation block 480.

At least some of the components in FIGS. 4A 400 and 4B 450 may beimplemented in software, while other components may be implemented byconfigurable hardware or a mixture of software and configurablehardware. In particular, it is noted that the FFT blocks and the IFFTblocks described in this disclosure document may be implemented asconfigurable software algorithms, where the value of Size N may bemodified according to the implementation.

Furthermore, although this disclosure is directed to an embodiment thatimplements the Fast Fourier Transform and the Inverse Fast FourierTransform, this is by way of illustration only and may not be construedto limit the scope of the disclosure. It may be appreciated that in analternate embodiment of the present disclosure, the Fast FourierTransform functions and the Inverse Fast Fourier Transform functions mayeasily be replaced by discrete Fourier transform (DFT) functions andinverse discrete Fourier transform (IDFT) functions, respectively. Itmay be appreciated that for DFT and IDFT functions, the value of the Nvariable may be any integer number (i.e., 1, 4, 3, 4, etc.), while forFFT and IFFT functions, the value of the N variable may be any integernumber that is a power of two (i.e., 1, 2, 4, 8, 16, etc.).

In transmit path circuitry 400, channel coding and modulation block 405receives a set of information bits, applies coding (e.g., LDPC coding)and modulates (e.g., quadrature phase shift keying (QPSK) or quadratureamplitude modulation (QAM)) the input bits to produce a sequence offrequency-domain modulation symbols. Serial-to-parallel block 410converts (i.e., de-multiplexes) the serial modulated symbols to paralleldata to produce N parallel symbol streams where N is the IFFT/FFT sizeused in BS 102 and UE 116. Size N IFFT block 415 then performs an IFFToperation on the N parallel symbol streams to produce time-domain outputsignals. Parallel-to-serial block 420 converts (i.e., multiplexes) theparallel time-domain output symbols from Size N IFFT block 415 toproduce a serial time-domain signal. Add cyclic prefix block 425 theninserts a cyclic prefix to the time-domain signal. Finally, up-converter430 modulates (i.e., up-converts) the output of add cyclic prefix block425 to RF frequency for transmission via a wireless channel. The signalmay also be filtered at baseband before conversion to RF frequency.

The transmitted RF signal arrives at the UE 116 after passing throughthe wireless channel, and reverse operations to those at gNB 102 areperformed. Down-converter 455 down-converts the received signal tobaseband frequency, and remove cyclic prefix block 460 removes thecyclic prefix to produce the serial time-domain baseband signal.Serial-to-parallel block 465 converts the time-domain baseband signal toparallel time-domain signals. Size N FFT block 470 then performs an FFTalgorithm to produce N parallel frequency-domain signals.Parallel-to-serial block 475 converts the parallel frequency-domainsignals to a sequence of modulated data symbols. Channel decoding anddemodulation block 480 demodulates and then decodes the modulatedsymbols to recover the original input data stream.

Each of gNBs 101-103 may implement a transmit path that is analogous totransmitting in the downlink to user equipment 111-116 and may implementa receive path that is analogous to receiving in the uplink from userequipment 111-116. Similarly, each one of user equipment 111-116 mayimplement a transmit path corresponding to the architecture fortransmitting in the uplink to gNBs 101-103 and may implement a receivepath corresponding to the architecture for receiving in the downlinkfrom gNBs 101-103.

5G communication system use cases have been identified and described.Those use cases can be roughly categorized into three different groups.In one example, enhanced mobile broadband (eMBB) is determined to dowith high bits/sec requirement, with less stringent latency andreliability requirements. In another example, ultra reliable and lowlatency (URLL) is determined with less stringent bits/sec requirement.In yet another example, massive machine type communication (mMTC) isdetermined that a number of devices can be as many as 100,000 to 1million per km2, but the reliability/throughput/latency requirementcould be less stringent. This scenario may also involve power efficiencyrequirement as well, in that the battery consumption may be minimized aspossible.

A communication system includes a downlink (DL) that conveys signalsfrom transmission points such as base stations (BSs) or NodeBs to userequipments (UEs) and an Uplink (UL) that conveys signals from UEs toreception points such as NodeBs. A UE, also commonly referred to as aterminal or a mobile station, may be fixed or mobile and may be acellular phone, a personal computer device, or an automated device. AneNodeB, which is generally a fixed station, may also be referred to asan access point or other equivalent terminology. For LTE systems, aNodeB is often referred as an eNodeB.

In a communication system, such as LTE system, DL signals can includedata signals conveying information content, control signals conveying DLcontrol information (DCI), and reference signals (RS) that are alsoknown as pilot signals. An eNodeB transmits data information through aphysical DL shared channel (PDSCH). An eNodeB transmits DCI through aphysical DL control channel (PDCCH) or an Enhanced PDCCH (EPDCCH).

An eNodeB transmits acknowledgement information in response to datatransport block (TB) transmission from a UE in a physical hybrid ARQindicator channel (PHICH). An eNodeB transmits one or more of multipletypes of RS including a UE-common RS (CRS), a channel state informationRS (CSI-RS), or a demodulation RS (DMRS). A CRS is transmitted over a DLsystem bandwidth (BW) and can be used by UEs to obtain a channelestimate to demodulate data or control information or to performmeasurements. To reduce CRS overhead, an eNodeB may transmit a CSI-RSwith a smaller density in the time and/or frequency domain than a CRS.DMRS can be transmitted only in the BW of a respective PDSCH or EPDCCHand a UE can use the DMRS to demodulate data or control information in aPDSCH or an EPDCCH, respectively. A transmission time interval for DLchannels is referred to as a subframe and can have, for example,duration of 1 millisecond.

DL signals also include transmission of a logical channel that carriessystem control information. A BCCH is mapped to either a transportchannel referred to as a broadcast channel (BCH) when the DL signalsconvey a master information block (MIB) or to a DL shared channel(DL-SCH) when the DL signals convey a System Information Block (SIB).Most system information is included in different SIBs that aretransmitted using DL-SCH. A presence of system information on a DL-SCHin a subframe can be indicated by a transmission of a correspondingPDCCH conveying a codeword with a cyclic redundancy check (CRC)scrambled with system information RNTI (SI-RNTI). Alternatively,scheduling information for a SIB transmission can be provided in anearlier SIB and scheduling information for the first SIB (SIB-1) can beprovided by the MIB.

DL resource allocation is performed in a unit of subframe and a group ofphysical resource blocks (PRBs). A transmission BW includes frequencyresource units referred to as resource blocks (RBs). Each RB includesN_(sc) ^(RB) sub-carriers, or resource elements (REs), such as 12 REs. Aunit of one RB over one subframe is referred to as a PRB. A UE can beallocated M_(PDSCH) RBs for a total of M_(sc) ^(PDSCH)=M_(PDSCH)·N_(sc)^(RB) REs for the PDSCH transmission BW.

UL signals can include data signals conveying data information, controlsignals conveying UL control information (UCI), and UL RS. UL RSincludes DMRS and Sounding RS (SRS). A UE transmits DMRS only in a BW ofa respective PUSCH or PUCCH. An eNodeB can use a DMRS to demodulate datasignals or UCI signals. A UE transmits SRS to provide an eNodeB with anUL CSI. A UE transmits data information or UCI through a respectivephysical UL shared channel (PUSCH) or a Physical UL control channel(PUCCH). If a UE needs to transmit data information and UCI in a same ULsubframe, the UE may multiplex both in a PUSCH. UCI includes HybridAutomatic Repeat request acknowledgement (HARQ-ACK) information,indicating correct (ACK) or incorrect (NACK) detection for a data TB ina PDSCH or absence of a PDCCH detection (DTX), scheduling request (SR)indicating whether a UE has data in the UE's buffer, rank indicator(RI), and channel state information (CSI) enabling an eNodeB to performlink adaptation for PDSCH transmissions to a UE. HARQ-ACK information isalso transmitted by a UE in response to a detection of a PDCCH/EPDCCHindicating a release of semi-persistently scheduled PDSCH.

An UL subframe includes two slots. Each slot includes N_(symb) ^(UL)symbols for transmitting data information, UCI, DMRS, or SRS. Afrequency resource unit of an UL system BW is a RB. A UE is allocatedN_(RB) RBs for a total of N_(RB)·N_(sc) ^(RB) REs for a transmission BW.For a PUCCH, N_(RB)=1. A last subframe symbol can be used to multiplexSRS transmissions from one or more UEs. A number of subframe symbolsthat are available for data/UCI/DMRS transmission isN_(symb)=2·(N_(symb) ^(UL)−1)−N_(SRS), where N_(SRS)=1 if a lastsubframe symbol is used to transmit SRS and N_(SRS)=0 otherwise.

FIG. 5 illustrates a transmitter block diagram 500 for a PDSCH in asubframe according to embodiments of the present disclosure. Theembodiment of the transmitter block diagram 500 illustrated in FIG. 5 isfor illustration only. FIG. 5 does not limit the scope of thisdisclosure to any particular implementation of the transmitter blockdiagram 500.

As shown in FIG. 5 , information bits 510 are encoded by encoder 520,such as a turbo encoder, and modulated by modulator 530, for exampleusing quadrature phase shift keying (QPSK) modulation. A serial toparallel (S/P) converter 540 generates M modulation symbols that aresubsequently provided to a mapper 550 to be mapped to REs selected by atransmission BW selection unit 555 for an assigned PDSCH transmissionBW, unit 560 applies an Inverse fast Fourier transform (IFFT), theoutput is then serialized by a parallel to serial (P/S) converter 570 tocreate a time domain signal, filtering is applied by filter 580, and asignal transmitted 590. Additional functionalities, such as datascrambling, cyclic prefix insertion, time windowing, interleaving, andothers are well known in the art and are not shown for brevity.

FIG. 6 illustrates a receiver block diagram 600 for a PDSCH in asubframe according to embodiments of the present disclosure. Theembodiment of the diagram 600 illustrated in FIG. 6 is for illustrationonly. FIG. 6 does not limit the scope of this disclosure to anyparticular implementation of the diagram 600.

As shown in FIG. 6 , a received signal 610 is filtered by filter 620,REs 630 for an assigned reception BW are selected by BW selector 635,unit 640 applies a fast Fourier transform (FFT), and an output isserialized by a parallel-to-serial converter 650. Subsequently, ademodulator 660 coherently demodulates data symbols by applying achannel estimate obtained from a DMRS or a CRS (not shown), and adecoder 670, such as a turbo decoder, decodes the demodulated data toprovide an estimate of the information data bits 680. Additionalfunctionalities such as time-windowing, cyclic prefix removal,de-scrambling, channel estimation, and de-interleaving are not shown forbrevity.

FIG. 7 illustrates a transmitter block diagram 700 for a PUSCH in asubframe according to embodiments of the present disclosure. Theembodiment of the block diagram 700 illustrated in FIG. 7 is forillustration only. FIG. 7 does not limit the scope of this disclosure toany particular implementation of the block diagram 700.

As shown in FIG. 7 , information data bits 710 are encoded by encoder720, such as a turbo encoder, and modulated by modulator 730. A discreteFourier transform (DFT) unit 740 applies a DFT on the modulated databits, REs 750 corresponding to an assigned PUSCH transmission BW areselected by transmission BW selection unit 755, unit 760 applies an IFFTand, after a cyclic prefix insertion (not shown), filtering is appliedby filter 770 and a signal transmitted 780.

FIG. 8 illustrates a receiver block diagram 800 for a PUSCH in asubframe according to embodiments of the present disclosure. Theembodiment of the block diagram 800 illustrated in FIG. 8 is forillustration only. FIG. 8 does not limit the scope of this disclosure toany particular implementation of the block diagram 800.

As shown in FIG. 8 , a received signal 810 is filtered by filter 820.Subsequently, after a cyclic prefix is removed (not shown), unit 830applies a FFT, REs 840 corresponding to an assigned PUSCH reception BWare selected by a reception BW selector 845, unit 850 applies an inverseDFT (IDFT), a demodulator 860 coherently demodulates data symbols byapplying a channel estimate obtained from a DMRS (not shown), a decoder870, such as a turbo decoder, decodes the demodulated data to provide anestimate of the information data bits 880.

In next generation cellular systems, various use cases are envisionedbeyond the capabilities of LTE system. Termed 5G or the fifth generationcellular system, a system capable of operating at sub-6 GHz and above-6GHz (for example, in mmWave regime) becomes one of the requirements. In3GPP TR 22.891, 74 5G use cases has been identified and described; thoseuse cases can be roughly categorized into three different groups. Afirst group is termed “enhanced mobile broadband (eMBB),” targeted tohigh data rate services with less stringent latency and reliabilityrequirements. A second group is termed “ultra-reliable and low latency(URLL)” targeted for applications with less stringent data raterequirements, but less tolerant to latency. A third group is termed“massive MTC (mMTC)” targeted for large number of low-power deviceconnections such as 1 million per km² with less stringent thereliability, data rate, and latency requirements.

In order for the 5G network to support such diverse services withdifferent quality of services (QoS), one method has been identified in3GPP specification, called network slicing. To utilize PHY resourcesefficiently and multiplex various slices (with different resourceallocation schemes, numerologies, and scheduling strategies) in DL-SCH,a flexible and self-contained frame or subframe design is utilized.

FIG. 9 illustrates an example multiplexing of two slices 900 accordingto embodiments of the present disclosure. The embodiment of themultiplexing of two slices 900 illustrated in FIG. 9 is for illustrationonly. FIG. 9 does not limit the scope of this disclosure to anyparticular implementation of the multiplexing of two slices 900.

Two exemplary instances of multiplexing two slices within a commonsubframe or frame are depicted in FIG. 9 . In these exemplaryembodiments, a slice can be composed of one or two transmissioninstances where one transmission instance includes a control (CTRL)component (e.g., 920 a, 960 a, 960 b, 920 b, or 960 c) and a datacomponent (e.g., 930 a, 970 a, 970 b, 930 b, or 970 c). In embodiment910, the two slices are multiplexed in frequency domain whereas inembodiment 950, the two slices are multiplexed in time domain. These twoslices can be transmitted with different sets of numerology.

3GPP specification supports up to 32 CSI-RS antenna ports which enable agNB to be equipped with a large number of antenna elements (such as 64or 128). In this case, a plurality of antenna elements is mapped ontoone CSI-RS port. For next generation cellular systems such as 5G, themaximum number of CSI-RS ports can either remain the same or increase.

FIG. 10 illustrates an example antenna blocks 1000 according toembodiments of the present disclosure. The embodiment of the antennablocks 1000 illustrated in FIG. 10 is for illustration only. FIG. 10does not limit the scope of this disclosure to any particularimplementation of the antenna blocks 1000.

For mmWave bands, although the number of antenna elements can be largerfor a given form factor, the number of CSI-RS ports—which can correspondto the number of digitally precoded ports—tends to be limited due tohardware constraints (such as the feasibility to install a large numberof ADCs/DACs at mmWave frequencies) as illustrated in FIG. 10 . In thiscase, one CSI-RS port is mapped onto a large number of antenna elementswhich can be controlled by a bank of analog phase shifters. One CSI-RSport can then correspond to one sub-array which produces a narrow analogbeam through analog beamforming. This analog beam can be configured tosweep across a wider range of angles by varying the phase shifter bankacross symbols or subframes. The number of sub-arrays (equal to thenumber of RF chains) is the same as the number of CSI-RS portsN_(CSI-PORT). A digital beamforming unit performs a linear combinationacross N_(CSI-PORT) analog beams to further increase precoding gain.While analog beams are wideband (hence not frequency-selective), digitalprecoding can be varied across frequency sub-bands or resource blocks.

Although exemplary descriptions and embodiments to follow assumeorthogonal frequency division multiplexing (OFDM) or orthogonalfrequency division multiple access (OFDMA), the present disclosure canbe extended to other OFDM-based transmission waveforms or multipleaccess schemes such as filtered OFDM (F-OFDM).

FIG. 11 illustrates an example network configuration 1100 according toembodiments of the present disclosure. The embodiment of the networkconfiguration 1100 illustrated in FIG. 11 is for illustration only. FIG.11 does not limit the scope of this disclosure to any particularimplementation of the configuration 1100.

In order for the 5G network to support such diverse services withdifferent quality of services (QoS), one scheme has been identified in3GPP specification, called network slicing.

As shown in FIG. 11 , An operator's network 1110 includes a number ofradio access network(s) 1120 (RAN(s)) that are associated with networkdevices such as gNBs 1130 a and 1130 b, small cell base stations(femto/pico gNBs or Wi-Fi access points) 1135 a and 1135 b. The network1110 can support various services, each represented as a slice.

In the example, an URLL slice 1140 a serves UEs requiring URLL servicessuch as cars 1145 b, trucks 1145 c, smart watches 1145 a, and smartglasses 1145 d. Two mMTC slices 1150 a and 550 b serve UEs requiringmMTC services such as power meters 555 b, and temperature control box1155 b. One eMBB slice 1160 a serves UEs requiring eMBB services such ascells phones 1165 a, laptops 1165 b, and tablets 1165 c. A deviceconfigured with two slices can also be envisioned.

To enable digital precoding, efficient design of CSI-RS is a crucialfactor. For this reason, three types of CSI reporting mechanismcorresponding to three types of CSI-RS measurement behavior aresupported, for example, “CLASS A” CSI reporting which corresponds tonon-precoded CSI-RS, “CLASS B” reporting with K=1 CSI-RS resource whichcorresponds to UE-specific beamformed CSI-RS, and “CLASS B” reportingwith K>1 CSI-RS resources which corresponds to cell-specific beamformedCSI-RS.

For non-precoded (NP) CSI-RS, a cell-specific one-to-one mapping betweenCSI-RS port and TXRU is utilized. Different CSI-RS ports have the samewide beam width and direction and hence generally cell wide coverage.For beamformed CSI-RS, beamforming operation, either cell-specific orUE-specific, is applied on a non-zero-power (NZP) CSI-RS resource (e.g.,comprising multiple ports). At least at a given time/frequency, CSI-RSports have narrow beam widths and hence not cell wide coverage, and atleast from the gNB perspective. At least some CSI-RS port-resourcecombinations have different beam directions.

In scenarios where DL long-term channel statistics can be measuredthrough UL signals at a serving eNodeB, UE-specific BF CSI-RS can bereadily used. This is typically feasible when UL-DL duplex distance issufficiently small. When this condition does not hold, however, some UEfeedback is necessary for the eNodeB to obtain an estimate of DLlong-term channel statistics (or any of representation thereof). Tofacilitate such a procedure, a first BF CSI-RS transmitted withperiodicity T1 (ms) and a second NP CSI-RS transmitted with periodicityT2 (ms), where T1≤T2. This approach is termed hybrid CSI-RS. Theimplementation of hybrid CSI-RS is largely dependent on the definitionof CSI process and NZP CSI-RS resource.

In 3GPP LTE specification, UL SU-MIMO transmission is supported using acodebook-based transmission scheme. That is, an UL grant (containing DCIformat 4) includes a single PMI field (along with RI) which indicatesthe single precoding vector or matrix (from a predefined codebook) a UEshall use for the scheduled UL transmission. Therefore, when multiplePRBs are allocated to the UE, a single precoding matrix indicated by thePMI implies that wideband UL precoding is utilized.

Despite its simplicity, this is clearly sub-optimal since typical ULchannel is frequency-selective and a UE is frequency scheduled totransmit using multiple PRBs. Yet another drawback of Rel.10 LTE ULSU-MIMO is its lack of support for scenarios where accurate UL-CSI isunavailable at the eNB (which is essential for properly operatingcodebook-based transmission). This situation can happen in scenarioswith high-mobility UEs or bursty inter-cell interference in cells withpoor isolation.

Therefore, there is a need for designing new components to enable moreefficient support for UL MIMO for the following reasons. First, thesupport for frequency-selective (or subband) precoding for UL MIMO isdesired whenever possible. Second, UL MIMO should offer competitiveperformance even when accurate UL-CSI is unavailable at the eNB. Third,the proposed UL MIMO solution should be able to exploit UL-DLreciprocity where CSI-RS is utilized by the UE to provide UL-CSIestimation for TDD scenarios. Additional examples of such efficient ULMIMO operations and components are described in U.S. patent applicationSer. No. 15/491,927, filed Apr. 19, 2017, and entitled “Method andApparatus for Enabling Uplink MIMO,” which is incorporated by referenceherein in its entirety.

In 3GPP LTE UL codebook, pre-coders with antenna selection have beensupported in order to keep peak-to-average power ratio (PAPR) low andcubic-metric (CM) for rank>1 small. Antenna selection offers performanceimprovement in some scenarios, especially for SC-FDMA based UL in LTE.However, for 5G NR systems, it has been agreed in 3GPP RANI that UL isprimarily going to be CP-OFDM based, although SC-FDMA based will also besupported. It is unclear that antenna selection will show anyperformance gain in case of CP-OFDM based UL. Whether antenna selectionis considered or not, there are several alternatives for UL codebook in5G NR. In addition, the UL codebook design is also dependent on whetheror not the UE is capable to transmit UL data (PUSCH) using all of, or asubset of antenna ports. For example, the UE can be capable of at leastone of full-coherent (all antenna ports), partial-coherent (a subset ofantenna ports), or non-coherent UL transmission (a single antenna port)to transmit a layer in UL. The 5G NR UL codebook has been designedkeeping this UE coherence capability in mind. However, if there are someissues (as explained later) with UL power control if UL power controlsimilar to LTE is applied. This disclosure addresses a few exampleembodiments for the UL power control to overcome these issues.

In 3GPP NR, the UL transmission is configured to be eithercodebook-based or non-codebook-based via higher layer parameter txConfigin PUSCH-Config set to either “codebook” or “nonCodebook.”

According to 3GPP NR specification, the following is supported forcodebook based UL transmission. For codebook based transmission, the UEdetermines the UE's codebook subsets based on TPMI and upon thereception of higher layer parameter ULCodebookSubset or codebookSubsetin PUSCH-Config which may be configured with“fullAndPartialAndNonCoherent,” or “partialAndNonCoherent,” or“nonCoherent” depending on the UE capability. The maximum transmissionrank may be configured by the higher parameter ULmaxRank or maxRank inPUSCH-Config.

A UE reporting the UE's UE capability of “partialAndNonCoherent”transmission may not expect to be configured by ULCodebookSubset with“fullAndPartialAndNonCoherent.”

A UE reporting the UE's UE capability of “Non-Coherent” transmission maynot expect to be configured by ULCodebookSubset with“fullAndPartialAndNonCoherent” or with “partialAndNonCoherent.”

A UE may not expect to be configured with the higher layer parameterULCodebookSubset set to “partialAndNonCoherent” when two antenna portsare configured.

In the present disclosure, “fullAndPartialAndNonCoherent,”“partialAndNonCoherent.” and “Non-Coherent” are referred to as the threeexamples of coherence type/capability, where the term “coherence”implies a subset of antenna ports at the UE that can be used to transmita layer of UL data coherently.

According to NR specification, for non-codebook-based UL transmission,the precoding matrix W equals the identity matrix. For codebook-based ULtransmission, the precoding matrix W is given by W=1 for single-layertransmission on a single antenna port, otherwise by TABLE 1 to TABLE 6.

The subset of TPMI indices for the three coherence types are summarizedin TABLE 7 and TABLE 8 where rank=r corresponds to (and is equivalentto) r layers.

The rank (or number of layers) and the corresponding precoding matrix Ware indicated to the UE using TRI and TPMI, respectively. In oneexample, this indication is joint via a field “Precoding information andnumber of layers” in DCI, e.g., using DCI format 0_1. In anotherexample, this indication is via higher layer RRC signaling. In oneexample, the mapping between a field “Precoding information and numberof layers” and TRI/TPMI is according to NR.

TABLE 1 Precoding matrix W for single-layer transmission using twoantenna ports TPMI W (ordered from left index to right in increasingorder of TPMI index) 0-5 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\0\end{bmatrix}$ — — $\frac{1}{\sqrt{2}}\begin{bmatrix}0 \\1\end{bmatrix}$ $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}$ $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\{- 1}\end{bmatrix}$ $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\j\end{bmatrix}$ $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\{- j}\end{bmatrix}$

TABLE 2 Precoding matrix W for single-layer transmission using fourantenna ports with transform precoding enabled. TPMI W index (orderedfrom left to right in increasing order of TPMI index) 0-7$\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}$ 16-23 $\frac{1}{2}\begin{bmatrix}1 \\j \\1 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\j \\j \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\j \\{- 1} \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\j \\{- j} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- 1} \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- 1} \\j \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- 1} \\{- 1} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- 1} \\{- j} \\j\end{bmatrix}$ 24-27 $\frac{1}{2}\begin{bmatrix}1 \\{- j} \\1 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- j} \\j \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- j} \\{- 1} \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- j} \\{- j} \\1\end{bmatrix}$ — — — —

TABLE 3 Precoding matrix W for single-layer transmission using fourantenna ports with transform precoding disabled. TPMI W index (orderedfrom left to right in increasing order of TPMI index) 0-7$\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}$ 16-23 $\frac{1}{2}\begin{bmatrix}1 \\j \\1 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\j \\j \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\j \\{- 1} \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\j \\{- j} \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- 1} \\1 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- 1} \\j \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- 1} \\{- 1} \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- 1} \\{- j} \\j\end{bmatrix}$ 24-27 $\frac{1}{2}\begin{bmatrix}1 \\{- j} \\1 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- j} \\j \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- j} \\{- 1} \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\{- j} \\{- j} \\{- 1}\end{bmatrix}$ — — — —

TABLE 4 Precoding matrix W for two-layer transmission using two antennaports with transform precoding disabled. TPMI W index (ordered from leftto right in increasing order of TPMI index) 0-2$\frac{1}{\sqrt{2}}\begin{bmatrix}1 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 1 \\1 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 1 \\j & {- j}\end{bmatrix}$

TABLE 5 Precoding matrix W for two-layer transmission using four antennaports with transform precoding disabled. TPMI W index (ordered from leftto right in increasing order of TPMI index) 0-3$\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 0 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ 4-7 $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\0 & 0 \\1 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & j\end{bmatrix}$ 8-11 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & j\end{bmatrix}$ 12-15 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & {- 1}\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\1 & 1 \\1 & {- 1} \\1 & {- 1}\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\1 & 1 \\j & {- j} \\j & {- j}\end{bmatrix}$ 16-19 $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\j & j \\1 & {- 1} \\j & {- j}\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\j & j \\j & {- j} \\{- 1} & 1\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\{- 1} & {- 1} \\1 & {- 1} \\{- 1} & 1\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\{- 1} & {- 1} \\j & {- j} \\{- j} & j\end{bmatrix}$ 20-21 $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\{- j} & {- j} \\1 & {- 1} \\{- j} & j\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\{- j} & {- j} \\j & {- j} \\1 & {- 1}\end{bmatrix}$ — —

TABLE 6 Precoding matrix W for three-layer transmission using fourantenna ports with transform precoding disabled. TPMI W index (orderedfrom left to right in increasing order of TPMI index) 0-3$\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2\sqrt{3}}\begin{bmatrix}1 & 1 & 1 \\1 & {- 1} & 1 \\1 & 1 & {- 1} \\1 & {- 1} & {- 1}\end{bmatrix}$ 4-6 $\frac{1}{2\sqrt{3}}\begin{bmatrix}1 & 1 & 1 \\1 & {- 1} & 1 \\j & j & {- j} \\j & {- j} & {- j}\end{bmatrix}$ $\frac{1}{2\sqrt{3}}\begin{bmatrix}1 & 1 & 1 \\{- 1} & 1 & {- 1} \\1 & 1 & {- 1} \\{- 1} & 1 & 1\end{bmatrix}$ $\frac{1}{2\sqrt{3}}\begin{bmatrix}1 & 1 & 1 \\{- 1} & 1 & {- 1} \\j & j & {- j} \\{- j} & j & j\end{bmatrix}$ —

TABLE 7 Precoding matrix W for four-layer transmission using fourantenna ports with transform precoding disabled. TPMI W index (orderedfrom left to right in increasing order of TPMI index) 0-3$\frac{1}{2}\begin{bmatrix}1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & 1 & 0 \\0 & 0 & 0 & 1\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\1 & {- 1} & 0 & 0 \\0 & 0 & 1 & {- 1}\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\j & {- j} & 0 & 0 \\0 & 0 & j & {- j}\end{bmatrix}$ $\frac{1}{4}\begin{bmatrix}1 & 1 & 1 & 1 \\1 & {- 1} & 1 & {- 1} \\1 & 1 & {- 1} & {- 1} \\1 & {- 1} & {- 1} & 1\end{bmatrix}$ 4 $\frac{1}{4}\begin{bmatrix}1 & 1 & 1 & 1 \\1 & {- 1} & 1 & {- 1} \\j & j & {- j} & {- j} \\j & {- j} & {- j} & j\end{bmatrix}$ — — —

TABLE 8 TPMI indices for 2 antenna ports Non- Rank CoherentfullAndPartialAndNonCoherent 1 0-1 0-5 2 0 0-2

TABLE 9 TPMI indices for 4 antenna ports partialAndNon fullAndPartialRank Non-Coherent Coherent AndNonCoherent 1 0-3 0-11 0-27 2 0-5 0-130-21 3 0 0-2 0-6 4 0 0-2 0-4

TABLE 10 Total power of precoding matrix W for 2 antenna portsNon-Coherent TPMIs Full-Coherent TPMIs TPMI Total TPMI Total Rankindices power indices power 1 0-1 ½ 2-5 1 2 0 1 1-2 1

TABLE 11 Total power of precoding matrix W for 4 antenna portsNon-Coherent Partial-Coherent Full-Coherent TPMIs TPMIs TPMIs TPMI TotalTPMI Total TPMI Total Rank indices power indices power indices power 10-3 ¼  4-11 ½ 12-27 1 2 0-5 ½  6-13 1 14-21 1 3 0 ¾ 1-2 1 3-6 1 4 0 11-2 1 3-4 1

The total power of the pre-coding matrix W for different rank andcoherence types is summarized in TABLE 10 and TABLE 11. The followingissues can be observed.

In one issue, for non-coherent and partial-coherent TPMIs, total powerincreases as rank increases, which implies that the TPMI selection willbe biased to higher rank. In particular, even for cell-edge UEs, rank 1TPMI may not be selected, which can severely affect cell-edgeperformance.

In another issue, for a given rank, total power of non-coherentTPMIs≤total power of partial-coherent TPMIs≤total power of full-coherentTPMIs. The reason for this trend is that the power of non-zero antennaports does not change across three types of TPMIs. This may bebeneficial in some scenarios, for example, UE implementation for powersaving. However, this may not be desired always.

The aforementioned issues can be handled by UL power control. Thepresent disclosure provides some examples and embodiments. The scope ofthe present disclosure does not limit to only these embodiments, butincludes any extensions or combinations of the provided embodiments.

In one embodiment 1, for PUSCH, a UE first scales a linear value{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l) of the transmit powerP_(PUSCH,f,c)(i, j, q_(d), l) on UL bandwidth part (BWP) b of carrier fof serving cell c, by β and the resulting scaled power is then splitequally across the antenna ports on which the non-zero PUSCH istransmitted. At least one of the following alternatives is used todetermine β. In one example of Alt 1-1, β=1. In another example of Alt1-2,

$\beta = {\frac{\rho_{0}}{\rho}.}$In yet another example of Alt 1-3,

$\beta = {{\min( {1,{K\frac{\rho_{0}}{\rho}}} )}.}$In such examples, ρ is the number of antenna ports {p₀, . . . , p_(ρ-1)}or the number of configured antenna ports for the transmission scheme orthe maximum number of SRS ports supported by the UE in one SRS resource.In such examples, ρ₀ is the number of non-zero antenna ports {p₀, . . ., p_(ρ-1)} or the number of antenna ports with a non-zero PUSCHtransmission power, and K is an integer and belongs to {1, 2, . . . ρ}.

An example to determine K value is K=2^(i), where i=0, 1, . . . , log₂ρ: for ρ=1 (1 antenna port), K=1; for ρ=2 (2 antenna ports), K=1 or 2;and for ρ=4 (4 antenna ports), K=1 or 2 or 4.

Another example to determine K value is as follows: for non-codebookbased UL transmission K=1; and for codebook-based UL transmission K isgiven from TABLE 11.

TABLE 12 Example of K value ULCodebookSubset or UE Number of coherencetype/capability antenna ports K fullAndPartialAndNonCoherent 2 1fullAndPartialAndNonCoherent 4 1 partialAndNonCoherent 4 2 nonCoherent 22 nonCoherent 4 4

The β value according to Alt 1-3 and K value as in TABLE 12 issummarized in TABLE 13 and TABLE 14. Note that for 4 antenna ports, theβ value for coherence type=partialAndNonCoherent (PC+NC), rank 2 andrank 3, and non-coherent (NC) TPMIs is 1, which implies that power pernon-zero (NZ) port is ½ and ½ for rank 2 and rank 3, respectively. Thisis different from the power per NZ port ¼ for rank 2 and rank 3 andpartial-coherent TPMIs. That is, the power per NZ port changes acrossrank 2 and rank 3 TPMIs.

TABLE 13 β value according to Alt 1-3 and for 2 antenna ports.Non-Coherent TPMIs Full-Coherent TPMIs Coherence TPMI TPMI type Rankindices K α β indices K α β NC 1 0-1 2 1 1 2 0 2 2 1 FC + PC + 1 0-1 1 ½½ 2-5 1 1 1 NC 2 0 1 1 1 1-2 1 1 1

TABLE 14 β value according to Alt 1-3 and K value as in TABLE 12 for 4antenna ports. Non-Coherent Partial-Coherent Full-Coherent TPMIs TPMIsTPMIs Coherence TPMI TPMI TPMI type Rank indices K α β indices K α βindices K α β NC 1 0-3 4 1 1 2 0-5 4 2 1 3 0 4 3 1 4 0 4 4 1 PC + NC 10-3 2 ½ ½  4-11 2 1 1 2 0-5 2 1 1  6-13 2 2 1 3 0 2 3/2 1 1-2 2 2 1 4 02 2 1 1-2 2 2 1 FC + PC + NC 1 0-3 1 ¼ ¼  4-11 1 ½ ½ 12-27 1 1 1 2 0-5 1½ ½  6-13 1 1 1 14-21 1 1 1 3 0 1 ¾ ¾ 1-2 1 1 1 3-6 1 1 1 4 0 1 1 1 1-21 1 1 3-4 1 1 1

In one sub-embodiment 1-1, only one alternative (e.g., Alt 1-1 or Alt1-2) for β is supported in the specification.

In one sub-embodiment 1-2, multiple alternatives for β are supported inthe specification. One of the multiple values is either configured viahigher layer (RRC) or more dynamic MAC CE based or DCI based signaling.If configured via RRC signaling, the configuration can be implicit basedin the RRC parameter ULCodebookSubset or/and ULmaxRank. Alternatively, apreferred value is reported by the UE. This reporting can be a part ofUE capability. For instance, the UE can report a preferred β value whenthe UE reports the UE's coherence capability.

In one embodiment 2, for PUSCH, a UE first scales a linear value{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l) of the transmit powerP_(PUSCH,f,c)(i, j, q_(d), l) on UL BWP b of carrier f of serving cell,by β and the resulting scaled power is then split equally across theantenna ports on which the non-zero PUSCH is transmitted, where the βvalue is determined based on whether the TPMI coherence type is“fullAndPartialAndNonCoherent” or “partialAndNonCoherent” or“partialAndNonCoherent.”

In one sub-embodiment 2-1,

$\beta = \frac{\rho_{0}}{\rho}$(e.g., Alt 1-2) if either higher layer (RRC) parameterULCodebookSubset=“fullAndPartialAndNonCoherent” or the UE reports theUE's UE capability of “fullAndPartialAndNonCoherent,” and β=1 (e.g., Alt1-1) otherwise.

In one sub-embodiment 2-2,

$\beta = \frac{\rho_{0}}{\rho}$(e.g., Alt 1-2) if either higher layer (RRC) parameterULCodebookSubset=“fullAndPartialAndNonCoherent” or“partialAndNonCoherent” or the UE reports the UE's UE capability of“fullAndPartialAndNonCoherent” or “partialAndNonCoherent,” and β=1 (Alt1-1) otherwise.

In one sub-embodiment 2-3,

$\beta = {\min( {1,{K\frac{\rho_{0}}{\rho}}} )}$(e.g., Alt 1-3) if either higher layer (RRC) parameterULCodebookSubset=“fullAndPartialAndNonCoherent” or the UE reports theUE's UE capability of “fullAndPartialAndNonCoherent,” and β=1 (e.g., Alt1-1) otherwise.

In one sub-embodiment 2-4,

$\beta = {\min( {1,{K\frac{\rho_{0}}{\rho}}} )}$(Alt 1-3) if either higher layer (RRC) parameterULCodebookSubset=“fullAndPartialAndNonCoherent” or“partialAndNonCoherent” or the UE reports the UE's UE capability of“fullAndPartialAndNonCoherent” or “partialAndNonCoherent,” and β=1 (Alt1-1) otherwise.

In one sub-embodiment 2-5,

$\beta = {\min( {1,{K\frac{\rho_{0}}{\rho}}} )}$(Alt 1-3) if either higher layer (RRC) parameterULCodebookSubset=“fullAndPartialAndNonCoherent” or the UE reports theUE's UE capability of “fullAndPartialAndNonCoherent,” and

$\beta = \frac{\rho_{0}}{\rho}$(Alt 1-2) otherwise.

In one sub-embodiment 2-6,

$\beta = {\min( {1,{K\frac{\rho_{0}}{\rho}}} )}$(Alt 1-3) if either higher layer (RRC) parameterULCodebookSubset=“fullAndPartialAndNonCoherent” or“partialAndNonCoherent” or the UE reports the UE's UE capability of“fullAndPartialAndNonCoherent” or “partialAndNonCoherent,” and

$\beta = \frac{\rho_{0}}{\rho}$(Alt 1-2) otherwise.

In one embodiment 3, for PUSCH, a UE first scales a linear value{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l) of the transmit powerP_(PUSCH,f,c)(i, j, q_(d), l) on UL BWP b of carrier f of serving cellC, by β and the resulting scaled power is then split equally across theantenna ports on which the non-zero PUSCH is transmitted, where the βvalue is determined depending on the number of coherent antenna portgroups (G) and rank. At least one of the following alternatives is usedto determine β.

In one example of Alt 3-1,

$\beta = {\frac{\sum_{g = 0}^{G - 1}\rho_{0,g}}{\rho}.}$In one example of Alt 3-2, β=β₁β₂, where

$\beta_{1} = \frac{1}{G_{0}}$scales the transmit power equally across the coherent antenna portgroups on which the non-zero PUSCH is transmitted, and

$\beta_{2} = {\sum_{g = 0}^{G - 1}{\frac{\rho_{0,g}}{\rho_{g}}.}}$Note that G is equivalent to K in Alt 1-3 (embodiment 1) and

$\rho_{g} = \frac{\rho}{G}$if the number of configured antenna ports (ρ) is divided equally into Gcoherent port groups, and then

$\beta_{2} = {{G\frac{\sum_{g = 0}^{G - 1}\rho_{0,g}}{\rho}} = {{G\frac{\rho_{0}}{\rho}} = {K{\frac{\rho_{0}}{\rho}.}}}}$

In one example of Alt 3-3, β=β₁β₂, where

$\beta_{1} = {{\frac{G}{G_{0}}\mspace{14mu}{and}\mspace{14mu}\beta_{2}} = {\frac{\rho_{0}}{\rho}.}}$In one example of Alt 3-4, β=β₁/β₂, where

$\beta_{1} = {{\frac{G_{0}}{G}\mspace{11mu}{and}\mspace{14mu}\beta_{2}} = {\frac{\rho}{\rho_{0}}.}}$In one example of Alt 3-5, β=β₁/β₂, where

$\beta_{2} = {{\frac{G_{0}}{G}\mspace{14mu}{and}\mspace{14mu}\beta_{1}} = {\frac{\rho_{0}}{\rho}.}}$In one example of Alt 3-6, β=β₁β₂, where

$\beta_{1} = {{{\max( {1,\frac{G}{R}} )}\mspace{14mu}{and}\mspace{14mu}\beta_{2}} = {\frac{\rho_{0}}{\rho}.}}$In such examples: G is the number of coherent antenna port groups; G₀ isthe number of coherent antenna port groups on which the non-zero PUSCHis transmitted; ρ_(g) is the number of configured antenna ports for thetransmission scheme in the g-th coherent antenna port group; ρ_(0,g) isthe number of antenna ports with a non-zero PUSCH transmission in theg-th coherent antenna port group; and R is the number of layers (or rankvalue).

In one example, the G value according to Alt 3-6 is given by G=K inTABLE 12. In one example, the G₀ value according to Alt 3-2 is given byTABLE 15.

TABLE 15 G₀ value according to Alt 3-2 Number G₀ G₀ G₀ G₀ of for for forfor antenna rank rank rank rank ULCodebookSubset ports 1 2 3 4fullAndPartialAndNonCoherent 2 1 1 fullAndPartialAndNonCoherent 4 1 1 11 partialCoherent 4 1 2 2 2 nonCoherent 2 1 2 nonCoherent 4 1 2 3 4

In one example, the β₁ value according to Alt 3-3 is given by TABLE 16,where the G₀ value is according to TABLE 15 and G=K according to TABLE12.

TABLE 16 β₁ value according to Alt 3-3 Number of antenna β₁ for β₁ forβ₁ for β₁ for ULCodebookSubset ports rank 1 rank 2 rank 3 rank 4fullAndPartialAndNonCoherent 2 1 1 fullAndPartialAndNonCoherent 4 1 1 11 partialCoherent 4 2 1 1 1 nonCoherent 2 2 1 nonCoherent 4 4 2 4/3 1

In an example, for non-codebook based UL transmission G=the number ofconfigured antenna ports for the UL transmission scheme, and forcodebook-based UL transmission, the number of coherent antenna portgroups (G) for the three coherence types are as shown in TABLE 17.

TABLE 17 Number of coherent antenna port groups (G) Number of Number ofCoherence type antenna ports = 2 antenna ports = 4 nonCoherent 2 4partialAndNonCoherent 2 fullAndPartialAndNonCoherent 1 1

In another example, for a given number of antenna ports, the β value fornon-codebook based UL transmission is the same as that for codebookbased UL transmission with NC coherence type.

For codebook based UL transmission, the β value according to Alt 3-2 issummarized in TABLE 18 and TABLE 19. The corresponding power pernon-zero antenna port is summarized in TABLE 20 and TABLE 21. Note thatfor 4 antenna ports: the β value for coherencetype=partialAndNonCoherent, rank 2, and non-coherent TPMIs is either 1(for TPMI indices=1, 4) or ½ 1 (for TPMI indices=0, 2, 3, 5); for agiven rank, the power per non-zero antenna port does not change exceptfor coherence type=partialAndNonCoherent, rank 2, and non-coherentTPMIs; the power per non-zero antenna port does change across rank; thepower per non-zero antenna port does change across rank for coherencetype=nonCoherent and partialAndNonCoherent; and for all rank, the powerper non-zero antenna port does not change for coherenttype=fullAndPartialAndNonCoherent (FC+PC+NC).

The β value according to other alternatives such as Alt 3-3, 3-4, or 3-5can be constructed similarly.

TABLE 18 β value according to Alt 3-2 and for 2 antenna portsNon-Coherent Full-Coherent TPMIs TPMIs Coherence TPMI TPMI type Rankindices β₁ β₂ β indices β₁ β₂ β NC 1 0-1 1 1 1 2 0 ½ 2 1 FC + PC + NC 10-1 1 ½ ½ 2-5 1 1 1 2 0 1 1 1 1-2 1 1 1

TABLE 19 β value according to Alt 3-2 and for 4 antenna portsNon-Coherent TPMIs Partial-Coherent TPMIs Full-Coherent TPMIs CoherenceTPMI TPMI TPMI type Rank indices β₁ β₂ β indices β₁ β₂ β indices β₁ β₂ βNC 1 0-3 1 1 1 2 0-5 ½ 2 1 3 0 ⅓ 3 1 4 0 ¼ 4 1 PC + NC 1 0-3 1 ½ ½  4-111 1 1 2 0, 2, 3, 5 ½ 1 ½  6-13 ½ 2 1 1, 4 1 1 1 3 0 ½ 3/2 ¾ 1-2 ½ 2 1 40 ½ 2 1 1-2 ½ 2 1 FC + PC + NC 1 0-3 1 ¼ ¼  4-11 1 ½ ½ 12-27 1 1 1 2 0-51 ½ ½  6-13 1 1 1 14-21 1 1 1 3 0 1 ¾ ¾ 1-2 1 1 1 3-6 1 1 1 4 0 1 1 11-2 1 1 1 3-4 1 1 1

TABLE 20 Power per non-zero antenna port according to Alt 3-2 and for 2antenna ports Power/ Power/ #non- non- #non- non- Co- TPMI zero zeroTPMI zero zero herence in- ports port in- ports port type Rank dices β(n) (β/n) dices β (n) (β/n) NC 1 0-1 1 1 1 2 0 1 2 ½ FC + 1 0-1 ½ 1 ½2-5 1 2 ½ PC + 2 0 1 2 ½ 1-2 1 2 ½ NC

TABLE 21 Power per non-zero antenna port according to Alt 3-2 and for 4antenna ports Non-Coherent TPMIs Partial-Coherent TPMIs Full-CoherentTPMIs Power/ Power/ Power/ #non- non- #non- non- #non- non- zero zerozero zero zero zero Coherence TPMI ports port TPMI ports port TPMI portsport type Rank indices β (n) (β/n) indices β (n) (β/n) indices β (n)(β/n) NC 1 0-3 1 1 1 2 0-5 1 2 ½ 3 0 1 3 ⅓ 4 0 1 4 ¼ PC + NC 1 0-3 ½ 1 ½ 4-11 1 2 ½ 2 0, 2, 3, 5 ½ 2 ¼  6-13 1 4 ¼ 1, 4 1 2 ½ 3 0 ¾ 3 ¼ 1-2 1 4¼ 4 0 1 4 ¼ 1-2 1 4 ¼ FC + PC + NC 1 0-3 ¼ 1 ¼  4-11 ½ 2 ¼ 12-27 1 4 ¼ 20-5 ½ 2 ¼  6-13 1 4 ¼ 14-21 1 4 ¼ 3 0 ¾ 3 ¼ 1-2 1 4 ¼ 3-6 1 4 ¼ 4 0 1 4¼ 1-2 1 4 ¼ 3-4 1 4 ¼

At least one of the following sub-embodiments is used in order to ensurethat power per non-zero antenna port does not change for a given rank.

In one sub-embodiment 3-1, the β₁ value for 4 antenna ports, coherencetype=partialAndNonCoherent, rank 2, and non-coherent TPMI indices 1 and4 are set to β₁=½. Note that the power per non-zero antenna port becomesand hence equals the power per non-zero antenna port for other rank 2TPMIs.

In one sub-embodiment 3-2, for each rank r, the β₁ value is determinedusing or based on only the most coherent TPMIs, and the determined β₁value is used for all TPMIs of rank r. In one example, FC+PC+NCcoherence type, most coherent TPMIs=FC TPMIs. In one example, PC+NCcoherence type, most coherent TPMIs=PC TPMIs. In one example, NCcoherence type, most coherent TPMIs=NC TPMIs.

In one sub-embodiment 3-3, for a given rank r, the β₁ value isdetermined as β₁=min 1/γ_(i), where γ_(i)=number of coherent port groupson which the non-zero PUSCH is transmitted using TPMI i.

Note that the power per non-zero antenna port becomes ¼ for all rank 2TPMIs in case of 4 antenna ports and coherencetype=partialAndNonCoherent with any of the sub-embodiments 3-1, 3-2, and3-3. The resultant β value is summarized in TABLE 22 and TABLE 23.

TABLE 22 β value according to Alt 3-2 and for 2 antenna portsNon-Coherent Full-Coherent Coherence TPMIs TPMIs type Rank β₁ TPMIindices β₂ β TPMI indices β₂ β NC 1 1 0-1 1 1 2 ½ 0 2 1 FC + PC + 1 10-1 ½ ½ 2-5 1 1 NC 2 1 0 1 1 1-2 1 1

TABLE 23 β value according to Alt 3-2 and for 4 antenna ports Non-Partial- Full- Coherent Coherent Coherent TPMIs TPMIs TPMIs Co- TPMITPMI TPMI herence in- in- in- type Rank β₁ dices β₂ β dices β₂ β dicesβ₂ β NC 1 1 0-3 1 1 2 ½ 0-5 2 1 3 ⅓ 0 3 1 4 ¼ 0 4 1 PC + 1 1 0-3 ½ ½ 4-11 1 1 NC 2 ½ 0-5 1 ½  6-13 2 1 3 ½ 0 3/2 ¾ 1-2 2 1 4 ½ 0 2 1 1-2 2 1FC + 1 1 0-3 ¼ ¼  4-11 ½ ½ 12-27 1 1 PC + 2 1 0-5 ½ ½  6-13 1 1 14-21 11 NC 3 1 0 ¾ ¾ 1-2 1 1 3-6 1 1 4 1 0 1 1 1-2 1 1 3-4 1 1

In sub-embodiment 3-4, for non-codebook based UL transmission, β=1, i.e.the total power is split equally across the antenna ports on which thenon-zero PUSCH is transmitted.

In one embodiment 4, for codebook based UL transmission, the powerscaling for UL transmission is applied to the pre-coding matrix Windicated by the TPMI (instead of power scaling to the PUSCHtransmission as provided in embodiments 1-3). For example, thepre-coding matrix W (cf. TABLE 1 to TABLE 8) is scaled by √{square rootover (β)} or √{square root over (β₁β₂)}, i.e., √{square root over (β)}or √{square root over (β₁β₂)} is included in the pre-multiplication(scalar normalization) factor in front of the pre-coding matrix W, whereβ or (β₁,β₂) is according to one of the alternatives in embodiments inthis disclosure, for example Alt 3-2.

For non-codebook based UL transmission, the UE can determine the UE'sPUSCH precoder and transmission rank based on the wideband SRI fieldfrom the DCI, and applies the power scaling

${\beta = \frac{1}{\sqrt{r}}},$where r is the transmission rank.

In one embodiment 5, for codebook based UL transmission, the powerscaling for UL transmission is applied to both the pre-coding matrix Windicated by the TPMI and the PUSCH transmission. For example: √{squareroot over (β₁)} scaling is applied to the precoding matrix W, and β₂scaling is applied to the NZ PUSCH transmission; or √{square root over(β₁)} scaling is applied to the precoding matrix W, and β₁ scaling is tothe NZ PUSCH transmission, where β₁ and β₂ are according to one of thealternatives in embodiments in this disclosure, for example Alt 3-2,3-3, or 3-6.

For non-codebook based UL transmission, the power scaling

${\beta = \frac{1}{\sqrt{r}}},$where r is the transmission rank, is applied to one of the pre-codingmatrix W indicated by the TPMI and the PUSCH transmission.

In one embodiment 6, whether the UE is capable of changing (adapting)power of a non-zero PUSCH antenna port from multiple values (thatcorrespond to multiple β values) is reported by the UE as a part of theUE capability signaling. For example, the UE reports (via 1 bitcapability signaling) that whether it can support only

$\beta = \frac{\rho_{0}}{\rho}$(e.g., Alt 1-2) or both

$\beta = \frac{\rho_{0}}{\rho}$(e.g., Alt 1-2) and β=β₁β₂ (e.g., Alt 3-2, 3-3, or 3-6).

In one embodiment 7, for PUSCH, a UE first scales a linear value{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l) of the transmit powerP_(PUSCH,f,c)(i, j, q_(d), l) on UL BWP b of carrier f of serving cellc, by β and the resulting scaled power is then split equally across theantenna ports on which the non-zero PUSCH is transmitted, where β=β₁β₂is according to at least one of Alt 3-2 to Alt 3-6, if

$\begin{matrix}{{{\beta{{{\overset{\hat{}}{P}}_{{PUSCH},f,c}( {i,j,q_{d},l} )}/\rho_{0}}} \leq {{{\overset{\hat{}}{P}}_{{CMAX},f,c}(i)}/\rho}},{\beta = {\beta_{2} = \frac{\rho_{0}}{\rho}}},} & \;\end{matrix}$otherwise.

{circumflex over (P)}_(CMAX,f,c)(i) is a linear value of P_(CMAX,f,c)(i)that is the configured UE transmit power for carrier f of serving cell Cin PUSCH transmission period i.

In a variation 7A, the inequality condition is replaced withβ{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l)/ρ₀≤{circumflex over(P)}_(CMAX,f,c)(i).

In one example of this embodiment (based on Alt 3-3), β=β₁β₂,

${\beta_{2} = {{\frac{\rho_{0}}{\rho}\mspace{14mu}{and}\mspace{14mu}\beta_{1}} = \frac{G}{G_{0}}}},$where β₁ value is given by TABLE 16 in which the G₀ value is accordingto TABLE 14 and G=K is according to TABLE 12, if β₁{circumflex over(P)}_(PUSCH,f,c)(i, j, q_(d), l)≤{circumflex over (P)}_(CMAX,f,c)(i) orβ₁{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l)≤ρ{circumflex over(P)}_(CMAX,f,c)(i) (variation 7A), β₁=1, otherwise.

In one example (based on Alt 3-6), β=β₁β₂,

${\beta_{2} = {{\frac{\rho_{0}}{\rho}\mspace{14mu}{and}\mspace{14mu}\beta_{1}} = {\max( {1,\frac{G}{R}} )}}},$where G value is given by G=K in TABLE 11, if β₁{circumflex over(P)}_(PUSCH,f,c)(i, j, q_(d), l)≤{circumflex over (P)}_(CMAX,f,c)(i) orβ₁{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l)≤ρ{circumflex over(P)}_(CMAX,f,c)(i) (variation 7A), β₁=1, otherwise.

In one embodiment 8, for PUSCH, a UE first scales a linear value{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l) of the transmit powerP_(PUSCH,f,c)(i, j, q_(d), l) on UL BWP b of carrier f of serving cellC, by β and the resulting scaled power is then split equally across theantenna ports on which the non-zero PUSCH is transmitted, where β=β₁β₂is according to at least one of Alt 3-2 to Alt 3-6, if β{circumflex over(P)}_(PUSCH,f,c)(i, j, q_(d), l)/ρ₀≤{circumflex over(P)}_(CMAX_H,f,c)(i)/ρ,

${\beta = {\beta_{2} = \frac{\rho_{0}}{\rho}}},$otherwise.

{circumflex over (P)}_(CMAX_H,f,c) is a linear value ofP_(CMAX_H,f,c)=MIN {p_(EMAX,c), P_(PowerClass)−ΔP_(PowerClass)} whereP_(EMAX,c) is the value given by information element (IE) P-Max forserving cell c; P_(PowerClass) is the maximum UE power;ΔP_(PowerClass)=3 dB for a power class 2 capable UE operating in Bandn41, when P-max of 23 dBm or lower is indicated or if theuplink/downlink configuration is 0 or 6 in the cell; otherwise,ΔPPowerClass=0 dB. In a variation 8A, the inequality condition isreplaced with β{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d),l)/ρ₀≤{circumflex over (P)}_(CMAX_H,f,c)(i).

In one example of this embodiment (based on Alt 3-3), β=β₁β₂,

${\beta_{2} = {{\frac{\rho_{0}}{\rho}\mspace{14mu}{and}\mspace{14mu}\beta_{1}} = \frac{G}{G_{0}}}},$where β₁ value is given by TABLE 15 in which the G₀ value is accordingto TABLE 15 and G=K is according to TABLE 11, if β₁{circumflex over(P)}_(PUSCH,f,c)(i, j, q_(d), l)≤{circumflex over (P)}_(CMAX_H,f,c)(i)or β₁{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l)≤ρ{circumflex over(P)}_(CMAX_H,f,c)(i) (variation 8A), β₁=1, otherwise.

In one example (based on Alt 3-6), β=β₁β₂,

${\beta_{2} = {{\frac{\rho_{0}}{\rho}\mspace{14mu}{and}\mspace{14mu}\beta_{1}} = {\max( {1,\frac{G}{R}} )}}},$where G value is given by G=K in TABLE 11, if β₁{circumflex over(P)}_(PUSCH,f,c)(i, j, q_(d), l)≤{circumflex over (P)}_(CMAX_H,f,c)(i)or β₁{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l)≤ρ{circumflex over(P)}_(CMAX_H,f,c)(i) (variation 8A), β₁=1, otherwise.

In one embodiment 9, for PUSCH, a UE first scales a linear value{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l) of the transmit powerP_(PUSCH,f,c)(i, j, q_(d), l) on UL BWP b of carrier f of serving cellC, by β and the resulting scaled power is then split equally across theantenna ports on which the non-zero PUSCH is transmitted, where β=β₁β₂is according to at least one of Alt 3-2 to Alt 3-6, if β{circumflex over(P)}_(PUSCH,f,c)(i, j, q_(d), l)/ρ₀≤{circumflex over(P)}_(PowerClass)/ρ,

${\beta = {\beta_{2} = \frac{\rho_{0}}{\rho}}},$otherwise.

{circumflex over (P)}_(PowerClass) is a linear value of P_(PowerClass)that is the maximum UE power. In a variation 9A, the inequalitycondition is replaced with β{circumflex over (P)}_(PUSCH,f,c)(i, j,q_(d), l)/ρ₀≤{circumflex over (P)}_(PowerClass).

In one example of this embodiment (based on Alt 3-3), β=β₁β₂,

${\beta_{2} = {{\frac{\rho_{0}}{\rho}\mspace{14mu}{and}\mspace{14mu}\beta_{1}} = \frac{G}{G_{0}}}},$where β₁ value is given by TABLE 16 in which the G₀ value is accordingto TABLE 15 and G=K is according to TABLE 12, if β₁{circumflex over(P)}_(PUSCH,f,c)(i, j, q_(d), l)≤{circumflex over (P)}_(PowerClass) orβ₁{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l)≤ρ{circumflex over(P)}_(PowerClass)(variation 9A), β₁=1, otherwise.

In one example (based on Alt 3-6),

${\beta = {\beta_{1}\beta_{2}}},{\beta_{2} = {{\frac{\rho_{0}}{\rho}\mspace{14mu}{and}\mspace{14mu}\beta_{1}} = {\max( {1,\frac{G}{R}} )}}},$where G value is given by G=K in TABLE 12, if β₁{circumflex over(P)}_(PUSCH,f,c)(i, j, q_(d), l)≤{circumflex over (P)}_(PowerClass) orβ₁{circumflex over (P)}_(PUSCH,f,c)(i, j, q_(d), l)≤ρ{circumflex over(P)}_(PowerClass)(variation 9A), β₁=1, otherwise.

In one embodiment 9A, which is a variation of embodiment 9, {circumflexover (P)}_(PowerClass) is replaced with {circumflex over(P)}_(PowerClass)−Δ{circumflex over (P)}_(PowerClass), whereΔ{circumflex over (P)}_(PowerClass) is a linear value ofΔP_(PowerClass).

A non-zero PUSCH antenna port corresponds to a UE antenna port fromwhich PUSCH (data) is transmitted.

For codebook-based UL transmission, this corresponds to a UE antennaport which is assigned a non-zero precoding weight indicated by TRI/TPMIrelated field in DCI. For non-codebook-based UL transmission, thiscorresponds to a UE antenna port which is indicated by SRI related fieldin DCI.

A zero PUSCH antenna port corresponds to a UE antenna port from whichPUSCH (data) is not transmitted. For codebook-based UL transmission,this corresponds to a UE antenna port which is assigned a zero precodingweight indicated by the TRI/TPMI related field in DCI. Fornon-codebook-based UL transmission, this corresponds to a UE antennaport which is not indicated by SRI related field in DCI.

In one embodiment 10, a UE reports the UE's capability (e.g., via UEcapability signaling) that whether or not the UE is capable of scaling(or changing or adapting), from multiple values, power of a non-zeroPUSCH antenna port (or a power amplifier transmitting a non-zero PUSCHdata) via UL power control and/or power of a precoding matrix (indicatedby the TPMI for codebook-based UL transmission or indicated by SRI fornon-codebook-based UL transmission). The multiple scaling values cancorrespond to multiple β values provided in the present disclosure. Asan example, the UE reports (via 1 bit capability signaling) that whetherthe UE can support only one β value or two β values.

If the UE can scale power of both non-zero PUSCH antenna ports andprecoding matrix, then the β value can be factored into two as β=β₁β₂,or comprises two factors β₁ and β₂, where one of the two factors (e.g.,β₁) is used to scale the non-zero PUSCH antenna ports, and the otherfactor (e.g., β₂) is used to scale the precoding matrix.

In one sub-embodiment 10-1, for codebook based UL transmission, the UEscales power according to at least one of the following alternatives.

In one example of Alt 10-1-1, √{square root over (β₁)} scaling isapplied (pre-multiplied) to the precoding matrix W, and β₂ scaling isapplied to the NZ PUSCH transmission via UL power control. In oneexample of Alt 10-1-2, √{square root over (β₂)} scaling is applied(pre-multiplied) to the precoding matrix W, and β₁ scaling is applied tothe NZ PUSCH transmission via UL power control.

In one example 10-1-1, β₁ and β₂ are according to one of thealternatives in embodiments in this disclosure, for example Alt 3-2,3-3, or 3-6.

In one example 10-1-2 (of Alt 10-1-1), β₂ scaling is the same as that inAlt 1-2 in embodiment 1, i.e.,

${\beta_{2} = \frac{\rho_{0}}{\rho}};$and β₁ for precoder scaling can take one or multiple values depending onUE capability. If β₁ can take only one value, then it is β₁=1. If β₁ cantake two values, then the first of the two values can be β₁=1 and thesecond can be β₁ according to one of Alt 3-2, 3-3, or 3-6.

If the UE is capable of supporting multiple β₁ values, then one of themcan be configured. This configuration can be via higher layer (e.g.,RRC) signaling either explicitly using a separate RRC parameter orimplicitly using at least one of UL codebook related parameters such asULCodebookSubset and ULmaxRank. Alternatively, the configuration aboutβ₁ value is dynamic via DCI signaling, e.g., using DCI format 0_1 eitherexplicitly using a separate DCI field or implicitly using at least oneof UL codebook related field such as TRI/TPMI or/and SRI.

In one scheme of 10-1-1, the multiple β1 values can be supported byintroducing a new UL codebook parameter, for example, transmit powerindicator (TPI). If two β₁ values are supported, then TPI=0 can indicateβ₁=1 and TPI=1 can indicate β₁ according to one of Alt 3-2, 3-3, or 3-6.The other codebook parameters such as TRI/TPMI remains the sameregardless of the β₁ value that is used for transmission. The ULcodebook table for 2 and 4 antenna ports are then obtained by replacingthe pre-multiplication factors in some of the TPMIs. For example: forTABLE 1, replace

$\frac{1}{\sqrt{2}}\mspace{14mu}{with}\mspace{14mu}\frac{\sqrt{\beta_{1}}}{\sqrt{2}}$in TPMI 0-1; for TABLE 3, replace

$\frac{1}{2}\mspace{14mu}{with}\mspace{14mu}\frac{\sqrt{\beta_{1}}}{2}$in TPMI 0-11; for TABLE 4, replace

$\frac{1}{\sqrt{2}}\mspace{14mu}{with}\mspace{14mu}\frac{\sqrt{\beta_{1}}}{\sqrt{2}}$in TPMI 0; for TABLE 5, replace

$\frac{1}{2}\mspace{14mu}{with}\mspace{14mu}\frac{\sqrt{\beta_{1}}}{2}$in TPMI 0-5; and for TABLE 6, replace

$\frac{1}{2}\mspace{14mu}{with}\mspace{14mu}\frac{\sqrt{\beta_{1}}}{2}$in TPMI 0.

In one scheme of 10-1-2, there is no separate UL codebook parameter forβ₁ scaling, and the UL codebook comprises precoding matrices for all β₁values that are supported. The UL codebook table for 2 and 4 antennaports are then obtained by adding the TPMIs for additional β₁ values.For example, if two β₁ values are supported, then one of them can beβ₁=1 and the other can be β₁ according to one of Alt 3-2, 3-3, or 3-6.

The additional TPMIs from TABLE 24 are added to TABLE 1. The additionalTPMIs from TABLE 25 are added to TABLE 3. The additional TPMIs fromTABLE 26 are added to TABLE 4. The additional TPMIs from TABLE 27 areadded to TABLE 5.

The additional TPMIs from TABLE 28 are added to TABLE 6.

TABLE 24 Additional precoding matrix W for single-layer transmissionusing two antenna ports. W TPMI index (ordered from left to right inincreasing order of TPMI index) X to X + 1 (e.g., X = 6)$\frac{\sqrt{\beta_{1}}}{\sqrt{2}}\begin{bmatrix}1 \\0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{\sqrt{2}}\begin{bmatrix}0 \\1\end{bmatrix}$

TABLE 25 Additional precoding matrix W for single-layer transmissionusing four antenna ports with transform precoding disabled. TPMI W index(ordered from left to right in increasing order of TPMI index) X to X +11 (e.g., X = 28) $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$

TABLE 26 Additional precoding matrix W for two-layer transmission usingtwo antenna ports with transform precoding disabled. W (ordered fromleft to right in increasing order of TPMI TPMI index index) X (e.g., X =3) $\frac{\sqrt{\beta_{1}}}{\sqrt{2}}\begin{bmatrix}1 & 0 \\0 & 1\end{bmatrix}$

TABLE 27 Additional precoding matrix W for two-layer transmission usingfour antenna ports with transform precoding disabled. TPMI W index(ordered from left to right in increasing order of TPMI index) X to X +5 (e.g., X = 22) $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 0 \\0 & 0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}0 & 0 \\0 & 0 \\1 & 0 \\0 & 1\end{bmatrix}$

TABLE 28 Additional precoding matrix W for three-layer transmissionusing four antenna ports with transform precoding disabled. W (orderedfrom left to right in increasing order of TPMI index TPMI index) X(e.g., X = 4) $\frac{\sqrt{\beta_{1}}}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 0\end{bmatrix}$

In one sub-embodiment 10-2, for codebook based UL transmission, the β₁scaling may also depend on the configured value of ULCodebookSubset.

When ULCodebookSubset=FC+PC+NC, the at least one of the following isused for the β₁ scaling.

In one example of Alt 10-2-1, only one β₁ scaling (e.g., β₁=1) can beused for regardless of whether the pre-coding matrix corresponds to FC,PC, or NC transmission—this is regardless of the UE capability thatwhether one or multiple β₁ scaling can be supported by the UE.

In one example of Alt 10-2-2, multiple β₁ (e.g., 2 values) scaling canbe used if the UE is capable of supporting them. At least one of thefollowing sub-alternatives can be used.

In one instance Alt 10-2-2-1, the two β₁ values can only be used for thepre-coding matrix corresponding to NC transmission. For FC and PC, onlyone β₁ scaling (e.g., β₁=1) can be used.

In one instance of Alt 10-2-2-2, the two β₁ values can only be used forthe pre-coding matrix corresponding to PC transmission. For FC and NC,only one β₁ scaling (e.g., β₁=1) can be used.

In one instance of Alt 10-2-2-3, the two β₁ values can only be used forthe pre-coding matrix corresponding to PC and NC transmission. For FC,only one β₁ scaling (e.g., β₁=1) can be used.

When ULCodebookSubset=PC+NC, the at least one of the following is usedfor the β₁ scaling.

In one example of Alt 10-2-3, only one β₁ scaling (e.g., β₁=1) can beused for regardless of whether the pre-coding matrix corresponds to PCor NC transmission—this is regardless of the UE capability that whetherone or multiple β₁ scaling can be supported by the UE.

In one example of Alt 10-2-4, multiple β₁ (e.g., 2 values) scaling canbe used if the UE is capable of supporting them. At least one of thefollowing sub-alternatives can be used.

In one instance of Alt 10-2-4-1, the two β₁ values can only be used forthe pre-coding matrix corresponding to NC transmission. For PC, only oneβ₁ scaling (e.g., β₁=1) can be used.

In one instance of Alt 10-2-4-2, the two β₁ values can only be used forthe pre-coding matrix corresponding to PC transmission. For NC, only oneβ₁ scaling (e.g., β₁=1) can be used.

When ULCodebookSubset=NC, the at least one of the following is used forthe β₁ scaling.

In one example of Alt 10-2-5, only one β₁ scaling (e.g., β₁=1) can beused—this is regardless of the UE capability that whether one ormultiple β₁ scaling can be supported by the UE.

In one example of Alt 10-2-6, multiple β₁ (e.g., 2 values) scaling canbe used if the UE is capable of supporting them.

In one sub-embodiment 10-2, for codebook based UL transmission, the UEscales power according to at least one of the following alternatives.

In one example of Alt 10-2-1, √{square root over (β₁)} scaling isapplied (pre-multiplied) to UE antenna port(s) which is (are) indicatedby SRI related field in DCI, and β₂ scaling is applied to the NZ PUSCHtransmission via UL power control.

In one example of Alt 10-2-2, √{square root over (β₂)} scaling isapplied (pre-multiplied) to UE antenna port(s) which is (are) indicatedby SRI related field in DCI, and β₁ scaling is applied to the NZ PUSCHtransmission via UL power control.

In such example of 10-2-1, β₁ and β₂ are according to one of thealternatives in embodiments in this disclosure, for example Alt 3-2,3-3, or 3-6.

In such example of 10-2-2, the β₁ scaling for the NC case ofcodebook-based UL transmission is also applicable to thenon-codebook-based UL transmission.

The other examples/alternatives in sub-embodiment 10-1 are alsoapplicable to this sub-embodiment.

In one embodiment 11, for codebook-based UL transmission, a UE reportsthe UE's capability (e.g., via UE capability signaling) that whether theUE is capable of UL transmission utilizing full power. In particular, aUE with NC or PC antenna ports, reports whether the UE can transmit atfull power for all or some rank values.

In one example of 11-0, if the UE is capable of full power transmission,then the network/gNB configures an UL codebook for TPMI indicationwherein: for FC+PC+NC UEs, the configured UL codebook is the same ascodebook as shown in TABLE 1 through TABLE 7; for PC+NC UEs, theconfigured UL codebook includes K FC TPMIs for rank 1, where K=1 or K>1,and for rank>1, the configured UL codebook is the same as codebook 7;for NC UEs, the configured UL codebook includes K1, K2, and K3 FC (oroptionally PC) TPMIs, for rank 1, 2, and 3, respectively, where K1, K2,K3=1 or K1, K2, K3>1; for 4 antenna ports, rank=4, the configured ULcodebook is the same as codebook TABLE 8.

The configuration of UL codebook with full power can be via higher layer(e.g., RRC) signaling. For PC+NC UEs, the higher layer parameterULCodebookSubset=partialAndNonCoherentFullPower indicates the configuredUL codebook according to scheme 11-0. For NC UEs, the higher layerparameter ULCodebookSubset=nonCoherentFullPower indicates the configuredUL codebook according to the aforementioned example 11-0. Alternatively,the configuration of full power UL transmission for PC+NC and NC UEs canbe based on a new higher layer parameter, e.g., ulFullPower.

In one example 11-0-0, for PC+NC UEs, K=1 and the FC TPMI included inthe rank 1 codebook corresponds to the FC TPMI with the smallest FC TPMIindex. Likewise, for NC UEs, K1=K2=K3=1 and the FC TPMI included in therank 1-3 codebook corresponds to the FC TPMI with the smallest FC TPMIindex.

In one example 11-0-1, for PC+NC UEs, K>1 and the FC TPMIs included inthe rank 1 codebook corresponds to all FC TPMIs. Likewise, for NC UEs,K1, K2, K3>1 and the FC TPMIs included in the rank 1-3 codebookcorresponds to all FC TPMIs.

In one example 11-0-2, for PC+NC UEs, K>1 and the FC TPMIs included inthe rank 1 codebook corresponds to a subset of FC TPMIs starting fromthe smallest FC TPMI index. Likewise, for NC UEs, K1, K2, K3>1 and theFC TPMIs included in the rank 1-3 codebook corresponds to a subset of FCTPMIs starting from the smallest FC TPMI index.

The K or (K1, K2, K3) FC TPMIs included in the UL codebook for PC+NC andNC, respectively are according to at least one of the followingalternatives.

In one embodiment of Alt 11-0-0, the precoders or precoding matrixescorresponding to the included K FC TPMIs replace that for the K NCTPMIs, where the K NC TPMIs start from the smallest NC TPMI index (e.g.,TPMI=0). Likewise, the precoders or precoding matrixes corresponding tothe included (K1, K2, K3) FC TPMIs replace that for the (K1, K2, K3) NCTPMIs, respectively, where the (K1, K2, K3) NC TPMIs start from thesmallest NC TPMI index (e.g., TPMI=0).

In one embodiment of Alt 11-0-1, K FC TPMIs are in addition to NC+PCTPMIs. Likewise, (K1, K2, K3) FC TPMIs are in addition to the (K1, K2,K3) NC TPMIs, respectively.

An example of codebook tables based on example 11-0-0 and Alt 11-0-1 isshown in TABLE 29 through TABLE 32. An example mapping of TPMI index 0for full power UL transmission is shown in TABLE 33.

TABLE 29 Precoding matrix W for single-layer transmission using twoantenna ports. W TPMI (ordered from left to right in increasing order ofindex TPMI index) 0 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\0\end{bmatrix}$ if UE is not capable of full power UL transmission; FCprecoding matrix, e.g., $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}$ (FC TPMI index 2) if UE reports “Non-Coherent”capability, and UE is capable of full power UL transmission 1-5Precoding matrix for TPMI index 1-5 in TABLE 1

TABLE 30 Precoding matrix W for single-layer transmission using fourantenna ports with transform precoding disabled. TPMI W index (orderedfrom left to right in increasing order of TPMI index) 0$\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ if UE is not capable of full power UL transmission; FCprecoding matrix, e.g., $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ (FC TPMI index 12) if UE reports “Non- Coherent” or“partialAndNonCoherent” capability, and UE is capable of full power ULtransmission 1-27 Precoding matrix for TPMI index 1-27 in TABLE-2.

TABLE 31 Precoding matrix W for two-layer transmission using fourantenna ports with transform precoding disabled. TPMI W index (orderedfrom left to right in increasing order of TPMI index) 0$\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 0 \\0 & 0\end{bmatrix}$ if UE is not capable of full power UL transmission; FCprecoding matrix, e.g., $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\1 & 1 \\1 & {- 1} \\1 & {- 1}\end{bmatrix}$ (FC TPMI index 14) or PC precoding matrix, e.g.,$\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}$ (PC TPMI index 6) if UE reports “Non-Coherent”capability, and UE is capable of full power UL transmission 1-21Precoding matrix for TPMI index 1-21 in TABLE 4

TABLE 32 Precoding matrix W for three-layer transmission using fourantenna ports with transform precoding disabled. TPMI W index (orderedfrom left to right in increasing order of TPMI index) 0$\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 0\end{bmatrix}$ if UE is not capable of full power UL transmission; FCprecoding matrix, e.g., $\frac{1}{2\sqrt{3}}\begin{bmatrix}1 & 1 & 1 \\1 & {- 1} & 1 \\1 & 1 & {- 1} \\1 & {- 1} & {- 1}\end{bmatrix}$ (FC TPMI index 3) or PC precoding matrix, e.g.,$\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ (FC TPMI index 1) if UE reports “Non-Coherent”capability, and UE is capable of full power UL transmission 1-6Precoding matrix for TPMI index 1-6 in TABLE 5

TABLE 33 mapping (replacing) of TPMI index = 0 for full power ULtransmission Number UE is not capable UE is capable of UE coherence ofantenna TPMI of full power UL full power UL capability ports rank indextransmission transmission “Non-Coherent” 2 1 0 0  2 4 1 0 0 12 2 0 0 6(PC TPMI) or 14 (FC TPMI) 3 0 0 1 (PC TPMI) or 3 (FC TPMI)“partialAndNonCoherent” 4 1 0 0 12

In another example based on example 11-0-0 and Alt 11-0-1, the FC TPMIincluded in the codebook (that replaces NC TPMI 0) indicates a precodingmatrix W which is according to at least one of the following examples.

In one example of Ex 11-0-0, W=FC TPMI with smallest FC TPMI index (asin TABLE 32). In one example of Ex 11-0-1, W=FC TPMI i selected randomlyfrom all FC TPMIs, where the random selection is performed either by theUE or by the gNB/NW. When it is selected by the gNB/NW, then theselected index can be configured/indicated via higher layer signaling.In one example of Ex 11-0-2, W corresponds to a fixed TPMI, e.g.,

$W = {\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}}$for rank 1, 2 antenna ports, and NC UE;

$W = {\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}}$for rank 1, 4 antenna ports, and NC or PC UE;

$W = {\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 \\1 & 1 \\1 & 1 \\1 & 1\end{bmatrix}}$for rank 2, 4 antenna ports, and NC UE; and

$= {\frac{1}{2\sqrt{3}}\begin{bmatrix}1 & 1 & 1 \\1 & 1 & 1 \\1 & 1 & 1 \\1 & 1 & 1\end{bmatrix}}$for rank 3, 4 antenna ports, and NC UE.

In one embodiment 11-1, the UL full power transmission according toembodiment 11 is only applicable for 2 antenna ports. For 4 antennaports, the UL full power is according to power scaling β or β₁β₂provided in some embodiments of this disclosure.

In one embodiment 11-2, the UL full power transmission according to bothsolutions (1) embodiment 11 and (2) power scaling β or β₁β₂ provided insome embodiments of this disclosure are supported. Which of the two ULfull transmission solutions is used is determined based one at least oneof the following alternatives.

In one example of Alt 11-2-0, the gNB indicates/configures to the UEwhich of the two solutions is used for UL transmission. This indicationcan be via RRC or 1-bit DCI signaling.

In one example of Alt 11-2-1, the UE reports which of the two solutionsthe UE can support as UE capability signaling.

In one embodiment 11-3, for non-codebook-based UL transmission, the ULfull power transmission is according to at least one of the followingalternatives.

In one example of Alt 11-3-0, the UE scales (e.g., UL PC) the power of(NZ) PUSCH antenna ports by a factor

${\beta = \frac{1}{\sqrt{r}}},$where r=rank value=number of SRS resources indicated via SRI.

In one example of Alt 11-3-1: if SRS is associated with CSI-RS, then thepower scaling can be up to UE implementation; and if SRS is notassociated with CSI-RS, then the UE scales (e.g., UL PC) the power of(NZ) PUSCH antenna ports by a factor

${\beta = \frac{1}{\sqrt{r}}},$where r=rank value=number of SRS resources indicated via SRI.

In one embodiment 12, for codebook-based UL transmission (e.g., viahigher layer parameter txConfig in PUSCH-Config set to “codebook”), a UEreports the UE's capability (e.g., via UE capability signaling) thatwhether the UE is capable of UL transmission utilizing full power. Inparticular, a UE with NC or PC antenna ports reports whether the UE cantransmit at full power. Then, at least one of the following schemes isused for full power UL transmission.

In one embodiment 12-0, the scaling β=1 (Alt 1-1) is used in the ULpower control mechanism. In particular, for a PUSCH transmission onactive UL BWP of carrier f of serving cell C, a UE first calculates alinear value {circumflex over (P)}_(PUSCH,b,f,c)(i, j, q_(d), l) of thetransmit power P_(PUSCH,b,f,c)(i, j, q_(d), l). If the PUSCHtransmission is scheduled by a DCI format 0_1 and when txConfig inPUSCH-Config is set to “codebook,” then the UE scales the linear valueby the ratio of the number of antenna ports with a non-zero PUSCHtransmission power to the maximum number of SRS ports supported by theUE in one SRS resource

$( {{i.e.},{\beta = \frac{\rho_{0}}{\rho}}} ),$if the UE is not capable of full power UL transmission (i.e., does notreport full power UL transmission capability), and the UE does not scalethe linear value of the transmit power (or equivalently scales by β=1),if the UE is capable of full power UL transmission (i.e., reports fullpower UL transmission capability). Then, the UE splits the power equallyacross the antenna ports on which the UE transmits the PUSCH withnon-zero power.

In one embodiment 12-1, at least one of the β scaling values provided inthis disclosure (e.g., Alt 1-3 or 3-2) is used in the UL power controlmechanism. In particular, for a PUSCH transmission on active UL BWP b ofcarrier f of serving cell C, a UE first calculates a linear value{circumflex over (P)}_(PUSCH,b,f,c)(i, j, q_(d), l) of the transmitpower P_(PUSCH,b,f,c)(i, j, q_(d), l). If the PUSCH transmission isscheduled by a DCI format 0_1 and when txConfig in PUSCH-Config is setto “codebook,” then the UE scales the linear value by the ratio of thenumber of antenna ports with a non-zero PUSCH transmission power to themaximum number of SRS ports supported by the UE in one SRS resource

$( {{i.e.},{\beta = \frac{\rho_{0}}{\rho}}} ),$if the UE is not capable of full power UL transmission (i.e., does notreport full power UL transmission capability), and the UE scales thelinear value by at least one of the β values provided in this disclosure(e.g., Alt 1-3 or 3-2), if the UE is capable of full power ULtransmission (i.e., reports full power UL transmission capability).Then, the UE splits the power equally across the antenna ports on whichthe UE transmits the PUSCH with non-zero power.

In one instance, the aforementioned embodiments as provided inembodiment 12-0 or embodiment 12-1 is applied only when the maximumnumber of SRS ports supported by the UE in one SRS resource is two, andanother solution (as provided in this disclosure) is applied when themaximum number of SRS ports supported by the UE in one SRS resource isnot equal to two (e.g., when the maximum number of SRS ports is equal to4).

In another instance, the aforementioned embodiments as provided inembodiment 12-0 or embodiment 12-1 is applied only when the maximumnumber of SRS ports supported by the UE in one SRS resource is four, andanother solution (as provided in this disclosure) is applied when themaximum number of SRS ports supported by the UE in one SRS resource isnot equal to four (e.g., when the maximum number of SRS ports is equalto 2).

In one embodiment A, the UL full power transmission is according toembodiment 11/12 (or other embodiments in this disclosure) for a subset(S) of rank values supported by the UE for UL transmission. At least oneof the following alternatives is used.

In one example of Alt A-0, the subset S is fixed, for example, S={1}. Inanother example of Alt A-1, the subset S is configured to the UE (viahigher layer signaling, e.g., maxRank). An example of the S={1, 2, . . .maxRank}. In another example of Alt A-2, the subset S is reported by theUE. As an example, the UE can report the maximum rank value the UE iscapable of full power UL transmission for. Then, S={1, 2, . . . , maxrank value reported by the UE}. This reporting can be joint with the UEcapability signaling for full power UL transmission. Alternatively, thisis a separate UE capability report. In one example of Alt A-3, the UEreports a set (S′) of rank values as in Alt 11A-2, and then the set S isselected/configured from the set S′ to the UE.

In one embodiment B, the full power UL transmission is supported basedon one or two solutions. At least one of the following alternatives isused.

In one example of Alt B-0, only one solution for full power ULtransmission is supported regardless of number of antenna ports, e.g., 2or 4. The supported solution is according to embodiment 11 or 12 or oneof the β scaling (UL power control or codebook scaling) based solutionprovided in other embodiments of this disclosure. If the UE is capableof full power UL transmission, then the supported solution is used.

In one example of Alt B-1, only one solution for full power ULtransmission is supported for a given number of antenna ports. At leastone of the following two sub-alternatives is used.

In one example of Alt B-1-0, the supported solution is according toembodiment 11 or 12 for 2 antenna ports, and is according to the βscaling (UL power control or codebook scaling) based solution providedin other embodiments of this disclosure for 4 antenna ports. If the UEis capable of full power UL transmission, then the supported solution isused depending on the number of antenna ports at the UE.

In one example of Alt B-1-1, the supported solution is according toembodiment 11 or 12 for 4 antenna ports, and is according to the βscaling (UL power control or codebook scaling) based solution providedin other embodiments of this disclosure for 2 antenna ports. If the UEis capable of full power UL transmission, then the supported solution isused depending on the number of antenna ports at the UE.

In one example of Alt B-2, two solutions for full power UL transmissionis supported regardless of number of antenna ports, e.g., 2 or 4. One ofthe two supported solutions is according to embodiment 11 or 12, and theother solution is according to the β scaling (UL power control orcodebook scaling) based solution provided in other embodiments of thisdisclosure. If the UE is capable of full power UL transmission based onat least one of the two supported solutions, then the UE reports (aspart of UE capability signaling) which of the two supported solutions itis capable of applying, and the corresponding solution is used for ULtransmission. If the UE reports that it is capable of applying bothsolutions, then one of the two solutions is configured to the UE.

In one example of Alt B-3, two solutions for full power UL transmissionare supported for a given number of antenna ports. One of the twosupported solutions is according to embodiment 11 or 12, and the othersolution is according to the β scaling (UL power control or codebookscaling) based solution provided in other embodiments of the presentdisclosure.

At least one of the following two sub-alternatives is used. In oneexample of Alt B-3-0, the two supported solutions are only for 2 antennaports, and only one solution is supported for 4 antenna ports. For 2antenna ports, the two solutions and other details are as explained inAlt B-2, and for 4 antenna ports, the supported solution and otherdetails are as explained in Alt B-0.

In another example of Alt B-3-1, the two supported solutions are onlyfor 4 antenna ports, and only one solution is supported for 2 antennaports. For 4 antenna ports, the two solutions and other details are asexplained in Alt B-2, and for 2 antenna ports, the supported solutionand other details are as explained in Alt B-0.

The aforementioned issues regarding the total power of the pre-codingmatrix W for different rank and coherence types summarized in TABLE 10and TABLE 11 can be handled by introducing a new UL codebook, whichincludes at least one TPMI that corresponds to full power, i.e. totalpower=1. The new UL codebook may be indicated (configured) via higherlayer parameter ULCodebookSubset or codebookSubset set tononCoherentFullPower and partialAndNonCoherentFullpower for anon-coherent UE and partial coherent UE, respectively. A few exemplaryembodiments are described below. The scope of the disclosure is notlimited to only these embodiments, but includes any extensions orcombinations of the proposed embodiments.

In one example, the full power UL transmission using the newcodebookSubset is referred to as Mode 1. The UE reports via itscapability signaling whether it can support full power UL transmissionaccording to Mode 1. If the UE is capable to support full power ULtransmission according to Mode 1, then the gNB or network (NW) canconfigure the full power UL transmission to the UE via higher layersignaling of parameter ulFPTx or ulFPTxModes set to Mode 1.

In one embodiment 13, for Mode 1 and a non-coherent UE with 2 antennaports, the new codebookSubset (i.e.,codebookSubset=nonCoherentFullPower) at least includes rank=1 (or 1layer) TPMI=2 defined in 3GPP NR specification TS 38.211, which can beused for UL full power transmission. Note that the rank=1 TPMI=2 is thesmallest index of the rank 1 full-coherent TPMI (cf. Table 1). The newcodebookSubset according to at least one of the following alternatives.

In one example of Alt 13-0, the new codebookSubset includes only TPMI 2for rank 1.

In one example of Alt 13-1, the new codebookSubset includes TPMI 0, 1and 2 for rank 1.

In one example of Alt 13-2, the new codebookSubset includes TPMI 0 and 2for rank 1.

In one example of Alt 13-3, the new codebookSubset includes TPMI 1 and 2for rank 1.

Here, TPMI 0-2 for rank 1 are as defined in 3GPP NR specification TS38.211 (cf. Table 1). For rank=2 (or 2 layers), the configured ULcodebook is the same as 3GPP NR specification TS 38.211 UL codebook forcodebookSubset=nonCoherent, i.e., TPMI 0 for rank 2 (cf. Table 5).

In one example, only one alternative (e.g., Alt 13-1) is supported. Inanother example, multiple alternatives are supported, and the UE isconfigured with one of them, for example, via higher layer signalling.

When higher layer parameter maxRank=1, the TRI/TPMI indication isaccording to Table 34, Table 35, and Table 36 for Alt 13-1, 13-2, and13-3, respectively. There are two sub-alternatives shown for Alt 13-2and Alt 13-3. The number of bits used for this indication is summarizedin Table 37.

TABLE 34 Precoding information and number of layers, for 2 antennaports, if transform precoder is enabled, or if transform precoder isdisabled and maxRank = 1, Alt 13-1 Bit field mapped to codebookSubset =index nonCoherentFullPower 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 1layer: TPMI = 2

TABLE 35 Precoding information and number of layers, for 2 antennaports, if transform precoder is enabled, or if transform precoder isdisabled and maxRank = 1, Alt 13-2 Bit field Alt 13-2-1: Alt 13-2-2:mapped to codebookSubset = codebookSubset = index nonCoherentFullPowernonCoherentFullPower 0 1 layer: TPMI = 0 1 layer: TPMI = 2 1 1 layer:TPMI = 2 1 layer: TPMI = 0

TABLE 36 Precoding information and number of layers, for 2 antennaports, if transform precoder is enabled, or if transform precoder isdisabled and maxRank = 1, Alt 13-3 Bit field Alt 13-3-1: Alt 13-3-2:mapped to codebookSubset = codebookSubset = index nonCoherentFullPowernonCoherentFullPower 0 1 layer: TPMI = 1 1 layer: TPMI = 2 1 1 layer:TPMI = 2 1 layer: TPMI = 1

TABLE 37 TRI/TPMI payload for 2 antenna ports, when maxRank = 1 Alt 13-0Alt 13-1 Alt 13-2 Alt 13-3 Rank 1, TPMI index 2 0, 1, 2 0, 2 0,1TRI/TPMI payload 0 2 1 1 (number of bits)

When higher layer parameter maxRank=2, the TRI/TPMI indication isaccording to Table 38, Table 39, Table 40, and Table 41 for Alt 13-0,Alt 13-1, 13-2, and 13-3, respectively. There are two sub-alternativesshown for each alternative. The number of bits used for this indicationis summarized in Table 42.

TABLE 38 Precoding information and number of layers, for 2 antennaports, if transform precoder is disabled and maxRank = 2, Alt 13-0 Bitfield Alt 13-0-1: Bit field Alt 13-0-2: mapped to codebookSubset =mapped codebookSubset = index nonCoherentFullPower to indexnonCoherentFullPower 0 2 layers: TPMI = 0 0 1 layer: TPMI = 2 1 1 layer:TPMI = 2 1 2 layers: TPMI = 0

TABLE 39 Precoding information and number of layers, for 2 antennaports, if transform precoder is disabled and maxRank = 2, Alt 13-1 Bitfield Alt 13-1-1: Bit field Alt 13-1-2: mapped to codebookSubset =mapped codebookSubset = index non CoherentFullPower to indexnonCoherentFullPower 0 1 layer: TPMI = 0 0 1 layer: TPMI = 0 1 1 layer:TPMI = 1 1 1 layer: TPMI = 1 2 2 layers: TPMI = 0 2 1 layer: TPMI = 2 31 layer: TPMI = 2 3 2 layers: TPMI = 0

TABLE 40 Precoding information and number of layers, for 2 antennaports, if transform precoder is disabled and maxRank = 2, Alt 13-2 Bitfield Alt 13-2-1: Bit field Alt 13-2-1: mapped to codebookSubset =mapped codebookSubset = index nonCoherentFullPower to indexnonCoherentFullPower 0 1 layer: TPMI = 0 0 1 layer: TPMI = 0 1 2 layers:TPMI = 0 1 1 layer: TPMI = 2 2 1 layer: TPMI = 2 2 2 layers: TPMI = 0

TABLE 41 Precoding information and number of layers, for 2 antennaports, if transform precoder is disabled and maxRank = 2, Alt 13-3 Bitfield Alt 13-3-1: Bit field Alt 13-3-1: mapped to codebookSubset =mapped codebookSubset = index nonCoherentFullPower to indexnonCoherentFullPower 0 1 layer: TPMI = 1 0 1 layer: TPMI = 1 1 2 layers:TPMI = 0 1 1 layer: TPMI = 2 2 1 layer: TPMI = 2 2 2 layers: TPMI = 0

TABLE 42 TRI/TPMI payload for 2 antenna ports, when maxRank = 2 Alt 13-0Alt 13-1 Alt 13-2 Alt 13-3 Rank 1, TPMI index 2 0, 1, 2 0, 2 0, 1 Rank2, TPMI index 0 0 0 0 TRI/TPMI payload 1 2 2 2 (number of bits)

In one embodiment 13A, for mode 1 and a non-coherent UE with 2 antennaports, the new codebookSubset is as follows. When maxRank=1, TPMI 2 forrank 1 replaces one of TPMI 0-1, e.g., replaces TPMI 0. This is toensure that TRI/TPMI payload remains 1 bit. When maxRank=2, TPMI 2 forrank 1 is added since this does not increase the TRI/TPMI payload whenmaxRank=2.

In one embodiment 14, for Mode 1 and a non-coherent UE with 4 antennaports, the new codebookSubset (i.e.,codebookSubset=nonCoherentFullPower) at least includes rank=1 TPMI=13,rank=2 TPMI=6, and rank=3 TPMI=1 defined in 3GPP NR specification TS38.211, which can be used for UL full power transmission. We can observethe following. The rank 1 TPMI=13 is the smallest index of the rank 1full-coherent TPMI that indicates the same precoding matrix W for bothcases when transform precoding is disabled and when transform precodingis enabled. Although the smallest rank 1 full-coherent TPMI is 12 (cf.Table 4), it corresponds to two different precoding matrices W for thetwo cases when transform precoding is disabled and when transformprecoding is enabled. The rank 2 TPMI=6 is the smallest index of therank 2 partial-coherent TPMI (cf. Table 6). The rank 3 TPMI=1 is thesmallest index of the rank 3 partial-coherent TPMI (cf. Table 7).

The new codebookSubset for rank 1 is according to at least one of thefollowing alternatives.

In one example of Alt 14-0, the new codebookSubset includes only TPMI 13for rank 1.

In one example of Alt 14-1, the new codebookSubset includes TPMI 0, 1,2, 3, and 13 for rank 1.

In one example of Alt 14-2, the new codebookSubset includes TPMI 1, 2,3, and 13 for rank 1 (i.e., TPMI 13 replaces TPMI 0 forcodebookSubset=nonCoherent).

In one example of Alt 14-3, the new codebookSubset includes TPMI 0, 2,3, and 13 for rank 1 (i.e., TPMI 13 replaces TPMI 1 forcodebookSubset=nonCoherent).

In one example of Alt 14-4, the new codebookSubset includes TPMI 0, 1,3, and 13 for rank 1 (i.e., TPMI 13 replaces TPMI 2 forcodebookSubset=nonCoherent).

In one example of Alt 14-5: the new codebookSubset includes TPMI 0, 1,2, and 13 for rank 1 (i.e., TPMI 13 replaces TPMI 3 forcodebookSubset=nonCoherent).

Here, TPMI 0, 1, 2, 3, and 13 for rank 1 are as defined in 3GPP NRspecification TS 38.211 (cf. Table 4). In one example, only onealternative (e.g., Alt 14-1) is supported. In another example, multiplealternatives are supported, and the UE is configured with one of them,for example, via higher layer signalling.

When higher layer parameter maxRank=1, the TRI/TPMI indication isaccording to Table 43 through Table 47 for Alt 14-1 through 14-5,respectively. There are two sub-alternatives shown for Alt 14-2 throughAlt 14-5. The number of bits used for this indication is summarized inTable 48.

TABLE 43 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 14-1 Bit field mapped to codebookSubset = indexnonCoherentFullPower 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 1 layer:TPMI = 2 3 1 layer: TPMI = 3 4  1 layer: TPMI = 13

TABLE 44 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 14-2 Bit field Alt 14-2-1: Bit field Alt 14-2-2:mapped codebookSubset = mapped codebookSubset = to indexnonCoherentFullPower to index nonCoherentFullPower 0 1 layer: TPMI = 1 0 1 layer: TPMI = 13 1 1 layer: TPMI = 2 1 1 layer: TPMI = 1 2 1 layer:TPMI = 3 2 1 layer: TPMI = 2 3  1 layer: TPMI = 13 3 1 layer: TPMI = 3

TABLE 45 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 14-3 Bit field Alt 14-3-1: Bit field Alt 14-3-2:mapped codebookSubset = mapped codebookSubset = to indexnonCoherentFullPower to index nonCoherentFullPower 0 1 layer: TPMI = 0 0 1 layer: TPMI = 13 1 1 layer: TPMI = 2 1 1 layer: TPMI = 0 2 1 layer:TPMI = 3 2 1 layer: TPMI = 2 3  1 layer: TPMI = 13 3 1 layer: TPMI = 3

TABLE 46 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 14-4 Bit field Alt 14-4-1: Bit field Alt 14-4-1:mapped codebookSubset = mapped codebookSubset = to indexnonCoherentFullPower to index nonCoherentFullPower 0 1 layer: TPMI = 0 0 1 layer: TPMI = 13 1 1 layer: TPMI = 1 1 1 layer: TPMI = 0 2 1 layer:TPMI = 3 2 1 layer: TPMI = 1 3  1 layer: TPMI = 13 3 1 layer: TPMI = 3

TABLE 47 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 14-5 Bit field Alt 14-5-1: Bit field Al 14-5-1:mapped codebookSubset = mapped codebookSubset = to indexnonCoherentFullPower to index nonCoherentFullPower 0 1 layer: TPMI = 0 0 1 layer: TPMI = 13 1 1 layer: TPMI = 1 1 1 layer: TPMI = 0 2 1 layer:TPMI = 2 2 1 layer: TPMI = 1 3  1 layer: TPMI = 13 3 1 layer: TPMI = 2

TABLE 48 TRI/TPMI payload for 4 antenna ports, when maxRank = 1 Alt AltAlt Alt Alt Alt 14-0 14-1 14-2 14-3 14-4 14-5 Rank 1, TPMI index 13 0,1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 3, 13 3, 13 3, 13 3, 13 2, 13 TRI/TPMIpayload 0 3 2 2 2 2 (number of bits)

The new codebookSubset for rank 2 is according to at least one of thefollowing alternatives.

In one example of Alt 14A-0, the new codebookSubset includes only TPMI 6for rank 2.

In one example of Alt 14A-1, the new codebookSubset includes TPMI 0, 1,2, 3, 4, 5, and 6 for rank 2.

In one example of Alt 14A-2, the new codebookSubset includes TPMI 1, 2,3, 4, 5, and 6 for rank 2 (i.e., TPMI 6 replaces TPMI 0 forcodebookSubset=nonCoherent).

In one example of Alt 14A-3, the new codebookSubset includes TPMI 0, 2,3, 4, 5, and 6 for rank 2 (i.e., TPMI 6 replaces TPMI 1 forcodebookSubset=nonCoherent).

In one example of Alt 14A-4, the new codebookSubset includes TPMI 0, 1,3, 4, 5, and 6 for rank 2 (i.e., TPMI 6 replaces TPMI 2 forcodebookSubset=nonCoherent).

In one example of Alt 14A-5, the new codebookSubset includes TPMI 0, 1,2, 4, 5, and 6 for rank 2 (i.e., TPMI 6 replaces TPMI 3 forcodebookSubset=nonCoherent).

In one example of Alt 14A-6, the new codebookSubset includes TPMI 0, 1,2, 3, 5, and 6 for rank 2 (i.e., TPMI 6 replaces TPMI 4 forcodebookSubset=nonCoherent).

In one example of Alt 14A-7, the new codebookSubset includes TPMI 0, 1,2, 3, 4, and 6 for rank 2 (i.e., TPMI 6 replaces TPMI 5 forcodebookSubset=nonCoherent).

Here, TPMI 0, 1, 2, 3, 4, 5, and 6 for rank 2 are as defined in 3GPP NRspecification TS 38.211 (cf. Table 6). In one example, only onealternative (e.g., Alt 14A-1) is supported. In another example, multiplealternatives are supported, and the UE is configured with one of them,for example, via higher layer signalling.

The new codebookSubset for rank 3 (or 3 layers) is according to at leastone of the following alternatives.

In one example of Alt 14B-0, the new codebookSubset includes only TPMI 1for rank 3.

In one example of Alt 14B-1, the new codebookSubset includes TPMI 0 and1 for rank 3.

Here, TPMI 0 and 1 for rank 3 are as defined in 3GPP NR specification TS38.211 (cf. Table 7). In one example, only one alternative (e.g., Alt14B-1) is supported. In another example, multiple alternatives aresupported, and the UE is configured with one of them, for example, viahigher layer signalling.

For rank=4 (or 4 layers), the configured UL codebook is the same as 3GPPNR specification TS 38.211 UL codebook for codebookSubset=nonCoherent,i.e., TPMI 0 for rank 4 (cf. Table 8).

The new codebookSubset for rank 1, 2, and 3 is according to at least oneof the alternatives (Alt 2C-0 through Alt 2C-49) in Table 49.

TABLE 49 new codebookSubset alternatives for rank 1, 2, and 3 Alt Rank 1Alt Rank 2 Alt Rank 3 Alt 14C-0 14-0 14A-0 14B-0 14C-1 14-1 14A-1 14B-114C-1a 14-1 14A-1 14B-0 14C-1b 14-1 14A-0 14B-1 14C-1c 14-1 14A-0 14B-014C-2 14-2 14A-2 14B-0 14C-3 14-3 14A-2 14B-0 14C-4 14-4 14A-2 14B-014C-5 14-5 14A-2 14B-0 14C-6 through 14C-9 14-2 through 14-5 14A-3 14B-014C-10 through 14C-13 14-2 through 14-5 14A-4 14B-0 14C-14 through14C-17 14-2 through 14-5 14A-5 14B-0 14C-18 through 14C-21 14-2 through14-5 14A-6 14B-0 14C-22 through 14C-25 14-2 through 14-5 14A-7 14B-014C-26 through 14C-29 14-2 through 14-5 14A-3 14B-1 14C-30 through14C-33 14-2 through 14-5 14A-4 14B-1 14C-34 through 14C-37 14-2 through14-5 14A-5 14B-1 14C-38 through 14C-41 14-2 through 14-5 14A-6 14B-114C-42 through 14C-45 14-2 through 14-5 14A-7 14B-1 14C-46 through14C-49 14-2 through 14-5 14A-7 14B-1

When higher layer parameter maxRank=2 or 3 or 4, the TRI/TPMI indicationis according to Table 50 and Table 51 for Alt 14C-1 and 14C-2,respectively. There are two sub-alternatives shown for Alt 14C-1 throughAlt 14C-2. The number of bits required for this indication is summarizedin Table 54.

TABLE 50 Precoding information and number of layers for 4 antenna ports,if transform precoder is disabled and maxRank = 2 or 3 or 4, Alt 14C-1Bit field Alt 14C-1-1: Bit field Alt 14C-1-2: mapped codebookSubset =mapped codebookSubset = to index nonCoherentFullPower to indexnonCoherentFullPower  0 1 layer: TPMI = 0   0 1 layer: TPMI = 0   1 1layer: TPMI = 1   1 1 layer: TPMI = 1  . . . . . . . . . . . .  3 1layer: TPMI = 3   3 1 layer: TPMI = 3   4 1 layer: TPMI = 13  4 2layers: TPMI = 0  5 2 layers: TPMI = 0 . . . . . . . . . . . .  9 2layers: TPMI = 5 10 2 layers: TPMI = 5 10 3 layers: TPMI = 0 11 2layers: TPMI = 6 11 4 layers: TPMI = 0 12 3 layers: TPMI = 0 12 1 layer:TPMI = 13 13 3 layers: TPMI = 1 13 2 layers: TPMI = 6 14 4 layers: TPMI= 0 14 3 layers: TPMI = 1 15 reserved 15 reserved

TABLE 51 Precoding information and number of layers for 4 antenna ports,if transform precoder is disabled and maxRank = 2 or 3 or 4, Alt 14C-2Bit field Alt 14C-2-1: Bit field Alt 14C-2-2: mapped codebookSubset =mapped codebookSubset = to index nonCoherentFullPower to indexnonCoherentFullPower  0 1 layer: TPMI = 13  0 1 layer: TPMI = 1   1 1layer: TPMI = 1   1 1 layer: TPMI = 2   2 1 layer: TPMI = 2   2 1 layer:TPMI = 3   3 1 layer: TPMI = 3   3 1 layer: TPMI = 13  4 2 layers: TPMI= 6  4 2 layers: TPMI = 1  5 2 layers: TPMI = 1  5 2 layers: TPMI = 2  62 layers: TPMI = 2  6 2 layers: TPMI = 3  7 2 layers: TPMI = 3  7 2layers: TPMI = 4  8 2 layers: TPMI = 4  8 2 layers: TPMI = 5  9 2layers: TPMI = 5  9 2 layers: TPMI = 6 10 3 layers: TPMI = 1 10 3layers: TPMI = 1 11 4 layers: TPMI = 0 11 4 layers: TPMI = 0 12-15Reserved 12-15 reserved

TABLE 52 Precoding information and number of layers for 4 antenna ports,if transform precoder is disabled and maxRank = 2 or 3 or 4, Alt 2C-1Bit field Alt 14C-1a-1: Bit field Alt 14C-1a-2: mapped codebookSubset =mapped codebookSubset = to index nonCoherentFullPower to indexnonCoherentFullPower  0 1 layer: TPMI = 0   0 1 layer: TPMI = 0   1 1layer: TPMI = 1   1 1 layer: TPMI = 1  . . . . . . . . . . . .  3 1layer: TPMI = 3   3 1 layer: TPMI = 3   4 1 layer: TPMI = 13  4 2layers: TPMI = 0  5 2 layers: TPMI = 0 . . . . . . . . . . . .  9 2layers: TPMI = 5 10 2 layers: TPMI = 5 10 4 layers: TPMI = 0 11 2layers: TPMI = 6 11 1 layer: TPMI = 13 13 3 layers: TPMI = 1 12 2layers: TPMI = 6 14 4 layers: TPMI = 0 13 3 layers: TPMI = 1 14-15reserved 14-15 reserved

TABLE 53 Precoding information and number of layers for 4 antenna ports,or if transform precoder is disabled and maxRank = 2 or 3 or 4, Alt14C-1c Bit field Alt 14C-1c-1: Bit field Alt 14C-1c-2: mappedcodebookSubset = mapped codebookSubset = to index nonCoherentFullPowerto index nonCoherentFullPower 0 1 layer: TPMI = 0  0 1 layer: TPMI = 0 1 1 layer: TPMI = 1  1 1 layer: TPMI = 1  2 1 layer: TPMI = 2  2 1layer: TPMI = 2  3 1 layer: TPMI = 3  3 1 layer: TPMI = 3  4 1 layer:TPMI = 13 4 4 layers: TPMI = 0 5 2 layers: TPMI = 6 5 1 layer: TPMI = 136 3 layers: TPMI = 1 6 2 layers: TPMI = 6 7 4 layers: TPMI = 0 7 3layers: TPMI = 1

TABLE 54 TRI/TPMI payload for 4 antenna ports, when maxRank = 2 or 3 or4 Alt 14C-X, Alt Alt Alt Alt Alt X = 3 14C-0 14C-1 14C-1a 14C-1c 14C-2to 25 Rank 1, TPMI index 13 0-3, 13 0-3, 13 0-3, 13 1-3, 13 Rank 2, TPMIindex 6 0-6 0-6 6 1-6 Rank 3, TPMI index 1 0-1 1 1 1 1 Rank 4, TPMIindex 0 0 0 0 0 0 TRI/TPMI payload 1 4 4 3 4 4 (number of bits), maxRank= 2 TRI/TPMI payload 2 4 4 3 4 4 (number of bits), maxRank = 3 TRI/TPMIpayload 2 4 4 3 4 4 (number of bits), maxRank = 4

In one embodiment 14A, for mode 1 and a non-coherent UE with 4 antennaports, the new codebookSubset is as follows. When maxRank=1, TPMI 13replaces one of TPMI 0-3, e.g., replaces TPMI 0. This is to ensure thatTRI/TPMI payload remains 2 bits. When maxRank>1 (i.e., 2, 3, or 4): TPMI13 for rank 1, TPMI 6 for rank 2, and TPMI 1 for rank 3 are added sincethis does not increase the TRI/TPMI payload.

In one embodiment 15, for Mode 1 and a partial-coherent UE with 4antenna ports, the new codebookSubset (i.e.,codebookSubset=partialAndNonCoherentFullPower) at least includes rank=1TPMI=13, which can be used for UL full power transmission. The newcodebookSubset for rank 1 is according to at least one of the followingalternatives.

In one example of Alt 15-0, the new codebookSubset includes only TPMI 13for rank 1.

In one example of Alt ′15-1, the new codebookSubset includes TPMI 0-11,and 13 for rank 1.

In one example of Alt 15-2, the new codebookSubset includes TPMI 1-11and 13 for rank 1 (i.e., TPMI 13 replaces TPMI 0 forcodebookSubset=partialAndNonCoherent).

In one example of Alt 15-3, the new codebookSubset is such that TPMI 13replaces TPMI X for codebookSubset=partialAndNonCoherent, where X is oneof 1 to 11.

In one example of Alt 15-4, the new codebookSubset includes TPMI 12, 13,14, 15 for rank 1.

In one example of Alt 15-5, the new codebookSubset includes TPMI 0-11,and 12, 13, 14, 15 for rank 1.

In one example of Alt 15-6, the new codebookSubset includes TPMI 4-11and 12, 13, 14, 15 for rank 1 (i.e., TPMI 12, 13, 14, 15 replace TPMI0-3 for codebookSubset=partialAndNonCoherent).

In one example of Alt 15-7, the new codebookSubset is such that TPMI 12,13, 14, 15 replace four TPMIs for codebookSubset=partialAndNonCoherent,where the four TPMIs belong to {0, 1, . . . , 11}.

In one example of Alt 15-8, for DFT-s-OFDM (if transform precoder isenabled), the new codebookSubset includes TPMI 12-19 for rank 1, and forCP-OFDM (if transform precoder is disabled), the new codebookSubset isaccording to Alt 15-4.

In one example of Alt 15-9, for DFT-s-OFDM (if transform precoder isenabled), the new codebookSubset includes TPMI 0-11, and 12-19 for rank1 and for CP-OFDM (if transform precoder is disabled), the newcodebookSubset is according to Alt 15-5.

In one example of Alt 15-10, for DFT-s-OFDM (if transform precoder isenabled), the new codebookSubset includes TPMI 8-11 and 12-19 for rank 1(i.e., TPMI 12-19 replace TPMI 0-7 forcodebookSubset=partialAndNonCoherent) and for CP-OFDM (if transformprecoder is disabled), the new codebookSubset is according to Alt 15-6.

In one example of Alt 15-11, for DFT-s-OFDM (if transform precoder isenabled), the new codebookSubset is such that TPMI 12-19 replace eightTPMIs for codebookSubset=partialAndNonCoherent, where the eight TPMIsbelong to {0, 1, . . . , 11} and for CP-OFDM (if transform precoder isdisabled), the new codebookSubset is according to Alt 15-7.

In one example of Alt 15-12: the new codebookSubset includes TPMI 0-3,and 12, 13, 14, 15 for rank 1.

In one example of Alt 15-13, for DFT-s-OFDM (if transform precoder isenabled), the new codebookSubset includes TPMI 0-3, and 12-19 for rank 1and for CP-OFDM (if transform precoder is disabled), the newcodebookSubset is according to Alt 15-12.

Here, TPMI 0-11 and 12-19 for rank 1 are as defined in 3GPP NRspecification TS 38.211 (cf. Table 2 and Table 4). For rank=2-4, theconfigured UL codebook is the same as 3GPP NR specification TS 38.211 ULcodebook for codebookSubset=partialAndNonCoherent.

In one example, only one alternative (e.g., Alt 15-1) is supported. Inanother example, multiple alternatives are supported, and the UE isconfigured with one of them, for example, via higher layer signalling.

When higher layer parameter maxRank=1, the TRI/TPMI indication isaccording to Table 55 and Table 56 for Alt 15-1 and 15-2 respectively.There are two sub-alternatives shown for Alt 15-2. Or, when higher layerparameter maxRank=1, the TRI/TPMI indication is according to one of thetables Table 57 through Table 62. When higher layer parameter maxRank>1(e.g., 2, 3, or 4), the TRI/TPMI indication is according to one of Table55 through Table 62 for rank 1 (1 layer) and according tocodebookSubset=partialAndNonCoherent for rank>1.

TABLE 55 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 15-1 Bit field mapped codebookSubset = to indexpartialAndNonCoherentFullPower  0 1 layer: TPMI = 0   1 1 layer: TPMI =1  . . . . . . 11 1 layer: TPMI = 11 12 1 layer: TPMI = 13

TABLE 56 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 15-2 Alt 15-2-1: Alt 15-2-2: Bit fieldcodebookSubset = Bit field codebookSubset = mapped partialAndNon- mappedpartialAndNon- to index CoherentFullPower to index CoherentFullPower  01 layer: TPMI = 13  0 1 layer: TPMI = 1   1 1 layer: TPMI = 1   1 1layer: TPMI = 2  . . . . . . . . . . . . 10 1 layer: TPMI = 11 10 1layer: TPMI = 11 11 1 layer: TPMI = 13 11 1 layer: TPMI = 13

TABLE 57 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 15-4 Bit field mapped codebookSubset = to indexpartialAndNonCoherentFullPower 0 1 layer: TPMI = 12 1 1 layer: TPMI = 132 1 layer: TPMI = 14 3 1 layer: TPMI = 15

TABLE 58 Precoding information and number of layers for 4 antenna ports,maxRank = 1, Alt 15-8 codebookSubset = codebookSubset = partialAndNon-partialAndNon- Bit field CoherentFullPower Bit field CoherentFullPowermapped and if transform mapped and if transform to index precoder isdisabled to index precoder is enabled 0 1 layer: TPMI = 12 0 1 layer:TPMI = 12 1 1 layer: TPMI = 13 1 1 layer: TPMI = 13 2 1 layer: TPMI = 142 1 layer: TPMI = 14 3 1 layer: TPMI = 15 3 1 layer: TPMI = 15 4 1layer: TPMI = 16 5 1 layer: TPMI = 17 6 1 layer: TPMI = 18 7 1 layer:TPMI = 19

TABLE 59 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 15-5 Bit field mapped codebookSubset = to indexpartialAndNonCoherentFullPower  0 1 layer: TPMI = 0   1 1 layer: TPMI =1  . . . . . . 11 1 layer: TPMI = 11 12 1 layer: TPMI = 12 13 1 layer:TPMI = 13 14 1 layer: TPMI = 14 15 1 layer: TPMI = 15

TABLE 60 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 15-9 codebookSubset = codebookSubset =partialAndNon- partialAndNon- Bit field CoherentFullPower Bit fieldCoherentFullPower mapped and if transform mapped and if transform toindex precoder is disabled to index precoder is enabled  0 1 layer: TPMI= 0   0 1 layer: TPMI = 0   1 1 layer: TPMI = 1   1 1 layer: TPMI = 1  .. . . . . . . . . . . 11 1 layer: TPMI = 11 11 1 layer: TPMI = 11 12 1layer: TPMI = 12 12 1 layer: TPMI = 12 13 1 layer: TPMI = 13 13 1 layer:TPMI = 13 14 1 layer: TPMI = 14 14 1 layer: TPMI = 14 15 1 layer: TPMI =15 15 1 layer: TPMI = 15 16 1 layer: TPMI = 16 17 1 layer: TPMI = 17 181 layer: TPMI = 18 19 1 layer: TPMI = 19

TABLE 61 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 15-12 Bit field mapped codebookSubset = to indexpartialAndNonCoherentFullPower 0 1 layer: TPMI = 0  1 1 layer: TPMI = 1 . . . . . . 3 1 layer: TPMI = 3  4 1 layer: TPMI = 12 5 1 layer: TPMI =13 6 1 layer: TPMI = 14 7 1 layer: TPMI = 15

TABLE 62 Precoding information and number of layers for 4 antenna ports,if transform precoder is enabled, or if transform precoder is disabledand maxRank = 1, Alt 15-13 codebookSubset = codebookSubset =partialAndNon- partialAndNon- Bit field CoherentFullPower Bit fieldCoherentFullPower mapped and if transform mapped and if transform toindex precoder is disabled to index precoder is enabled  0 1 layer: TPMI= 0   0 1 layer: TPMI = 0   1 1 layer: TPMI = 1   1 1 layer: TPMI = 1  .. . . . . . . . . . .  3 1 layer: TPMI = 3   3 1 layer: TPMI = 3   4 1layer: TPMI = 12  4 1 layer: TPMI = 12  5 1 layer: TPMI = 13  5 1 layer:TPMI = 13  6 1 layer: TPMI = 14  6 1 layer: TPMI = 14  7 1 layer: TPMI =15  7 1 layer: TPMI = 15  8 1 layer: TPMI = 16  9 1 layer: TPMI = 17 101 layer: TPMI = 18 11 1 layer: TPMI = 19

In one embodiment 15A, for mode 1 and a partial-coherent UE with 4antenna ports, the new codebookSubset is as follows. When maxRank=1,TPMI 13 replaces one of TPMI 0-11 for rank 1, e.g., replaces TPMI 0.When maxRank>1 (i.e., 2, 3, or 4): TPMI 13 for rank 1 is added to the3GPP NR specification TS 38.211 codebook for rank 1.

In one embodiment 15B, for Mode 1 and a partial-coherent UE with 4antenna ports, the new codebookSubset (i.e.,codebookSubset=partialAndNonCoherentFullPower) at least includes rank=1TPMI=Z, defined in 3GPP NR specification TS 38.211, which can be usedfor UL full power transmission. In one example, Z=12. The rest of thedetails of this embodiment are the same as described above forembodiments 15/15A except that TPMI 13 for rank 1 is replaced with TPMIZ.

FIG. 12 illustrates a flow chart of a method 1200 for operating a userequipment (UE) for an uplink (UL) transmission, as may be performed by aUE, according to embodiments of the present disclosure. The embodimentof the method 1200 illustrated in FIG. 12 is for illustration only. FIG.12 does not limit the scope of this disclosure to any particularimplementation.

As illustrates in FIG. 12 , the method 1200 begins at step 1202. In step1202, the UE (e.g., 111-116 as illustrated in FIG. 1 ) transmits, to abase station (BS), UE capability information including a full powertransmission capability of the UE.

In step 1204, the UE receives, from the BS, configuration informationindicating a UL codebook.

In step 1206, the UE identifies the UL codebook to use for the ULtransmission based on the configuration information.

In step 1208, the UE transmits, to the BS, the UL transmission based onthe UL codebook.

In one embodiment, the UL codebook for l layers includes K_(l) fullpower transmit precoding matrix indicators (TPMIs) and remainingnon-full power TPMIs, where a TPMI indicates a precoding matrix for ULtransmission and l indicates a rank value.

In one embodiment, the UL codebook is configured based on a coherencecapability included in the UE capability information. When the coherencecapability is non-coherent and N=2, K₁=1 for l=1 layer; when thecoherence capability is non-coherent and N=4, K_(l)=1 for l=1, 2, 3layers; and when the coherence capability is partial and non-coherentand N=4, K₁=4 for l=1 layer, where N is a number of antenna ports at theUE used for the UL transmission.

In one embodiment, when the UE coherence capability is non-coherent andN=2: for l=1 layer, the full power TPMI included in the UL codebook isTPMI=2, which indicates a precoding matrix.

${\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}}.$

In one embodiment, when the UE coherence capability is non-coherent andN=4: for l=1 layer, the full power TPMI included in the UL codebook isTPMI=12, which indicates a precoding matrix

${\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}};$for l=2 layers, the full power TPMI included in the UL codebook isTPMI=6, which indicates a precoding matrix

${\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}};$and for l=3 layers, the full power TPMI included in the UL codebook isTPMI=1, which indicates a precoding matrix

${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}}.$

In one embodiment, when the coherence capability is non-coherent andN=2, the method further comprises receiving downlink control information(DCI) including a bit field value, and identifying, from the ULcodebook, a value for l and a TPMI to use for the UL transmission basedon the bit field value, for a maximum rank value of 1, according to:

Bit Field Value nonCoherent 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 1layer: TPMI = 2and for a maximum rank value of 2, according to:

Bit Field Value nonCoherent 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 2layers: TPMI = 0 3 1 layer: TPMI = 2where the mapping from TPMI to precoding matrix is according to:

1 layer: TPMI = 0 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\0\end{bmatrix}$ 1 layer: TPMI = 1 $\frac{1}{\sqrt{2}}\begin{bmatrix}0 \\1\end{bmatrix}$ 1 layer: TPMI = 2 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}$ 2 layers: TPMI = 0 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 & 0 \\0 & 1\end{bmatrix}$

In one embodiment, when N=4, the method further comprises receivingdownlink control information (DCI) including a bit field value, andidentifying, from the UL codebook, a value for l and a TPMI to use forthe UL transmission based on the bit field value, for a maximum rankvalue of one, according to:

Bit Field Bit Field Value partialAndNonCoherent Value nonCoherent  0 1layer: TPMI = 0  0 1 layer: TPMI = 0   1 1 layer: TPMI = 1  1 1 layer:TPMI = 1  . . . . . . . . . . . .  3 1 layer: TPMI = 3  3 1 layer: TPMI= 3   4 1 layer: TPMI = 13 4 1 layer: TPMI = 13  5 1 layer: TPMI = 4 5-7 Reserved . . . . . . 13 1 layer: TPMI = 12 14 1 layer: TPMI = 14 151 layer: TPMI = 15where the mapping from TPMI to precoding matrix is according to:

1 layer Precoding matrix TPMI (ordered from left to right in increasingorder of TPMI index) 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}$

In one embodiment, when N=4, the method further comprises receivingdownlink control information (DCI) including a bit field value, andidentifying, from the UL codebook, a value for l and a TPMI to use forthe UL transmission based on the bit field value, for a maximum rankvalue of greater than one, according to:

Bit Field Bit Field Value partialAndNonCoherent Value nonCoherent  0 1layer: TPMI = 0  0 1 layer: TPMI = 0  1 1 layer: TPMI = 1  1 1 layer:TPMI = 1 . . . . . . . . . . . .  3 1 layer: TPMI = 3  3 1 layer: TPMI =3  4 2 layers: TPMI = 0  4 2 layers: TPMI = 0 . . . . . . . . . . . .  92 layers: TPMI = 5  9 2 layers: TPMI = 5 10 3 layers: TPMI = 0 10 3layers: TPMI = 0 11 4 layers: TPMI = 0 11 4 layers: TPMI = 0 12 1 layer:TPMI = 13 12 1 layer: TPMI = 13 13 2 layer: TPMI = 6 13 2 layer: TPMI =6 14 3 layer: TPMI = 1 14 3 layer: TPMI = 1 15 1 layer: TPMI = 4 15Reserved . . . . . . 23 1 layer: TPMI = 12 24 1 layer: TPMI = 14 25 1layer: TPMI = 15 26 2 layers: TPMI = 7 . . . . . . 32 2 layers: TPMI =13 33 3 layers: TPMI = 2 34 4 layers: TPMI = 1 35 4 layers: TPMI = 236-63 Reserved

where the mapping from TPMI to precoding matrix is according to:

Precoding matrix (ordered from left to right in increasing order of TPMIindex) 1 layer, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 1 layer, TPMI 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}$ 2 layers, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 0 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\0 & 0 \\1 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & j\end{bmatrix}$ 2 layers, TPMI 8-13 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & {- 1}\end{bmatrix}$ — — 3 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ 4 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & 1 & 0 \\0 & 0 & 0 & 1\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\1 & {- 1} & 0 & 0 \\0 & 0 & 1 & {- 1}\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\j & {- j} & 0 & 0 \\0 & 0 & j & {- j}\end{bmatrix}$

FIG. 13 illustrates a flow chart of another method 1300, as may beperformed by a base station (BS), according to embodiments of thepresent disclosure. The embodiment of the method 1300 illustrated inFIG. 13 is for illustration only. FIG. 13 does not limit the scope ofthis disclosure to any particular implementation.

As illustrated in FIG. 13 , the method 1300 begins at step 1302. In step1302, the BS (e.g., 101-103 as illustrated in FIG. 1 ), receives, from auser equipment (UE), UE capability information including a full powertransmission capability of the UE.

In step 1304, the BS determines configuration information indicating anuplink (UL) codebook for the UE to apply to a UL transmission.

In step 1306, the BS transmits, to the UE, the configuration informationindicating the UL codebook for the UL transmission.

In step 1308, the BS receives, from the UE, the UL transmission based onthe UL codebook.

In one embodiment, the UL codebook for l layers includes K_(l) fullpower transmit precoding matrix indicators (TPMIs) and remainingnon-full power TPMIs, where a TPMI indicates a precoding matrix for ULtransmission and l indicates a rank value.

In one embodiment, the UL codebook is configured based on a coherencecapability included in the UE capability information. When the coherencecapability is non-coherent and N=2, K₁=1 for l=1 layer; when thecoherence capability is non-coherent and N=4, K_(l)=1 for l=1, 2, 3layers; and when the coherence capability is partial and non-coherentand N=4, K₁=4 for l=1 layer, where N is a number of antenna ports at theUE used for the UL transmission.

In one embodiment, when the UE coherence capability is non-coherent andN=2: for l=1 layer, the full power TPMI included in the UL codebook isTPMI=2, which indicates a precoding matrix

${\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}}.$

In one embodiment, when the UE coherence capability is non-coherent andN=4: for l=1 layer, the full power TPMI included in the UL codebook isTPMI=12, which indicates a precoding matrix

${\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}};$for l=2 layers, the full power TPMI included in the UL codebook isTPMI=6, which indicates a precoding matrix

${\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}};$and for l=3 layers, the full power TPMI included in the UL codebook isTPMI=1, which indicates a precoding matrix

${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}}.$

In one embodiment, when the coherence capability is non-coherent andN=2, the method further comprises transmitting downlink controlinformation (DCI) including a bit field value to the UE for enabling theUE to identify, from the UL codebook, a value for l and a TPMI to usefor the UL transmission based on the bit field value, for a maximum rankvalue of 1, according to:

Bit Field Value nonCoherent 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 1layer: TPMI = 2and for a maximum rank value of 2, according to:

Bit Field Value nonCoherent 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 2layers: TPMI = 0 3 1 layer: TPMI = 2where the mapping from TPMI to precoding matrix is according to:

1 layer: TPMI = 0 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\0\end{bmatrix}$ 1 layer: TPMI = 1 $\frac{1}{\sqrt{2}}\begin{bmatrix}0 \\1\end{bmatrix}$ 1 layer: TPMI = 2 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}$ 2 layers: TPMI = 0 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 & 0 \\0 & 1\end{bmatrix}$

In one embodiment, when N=4, the method further comprises transmittingdownlink control information (DCI) including a bit field value to the UEfor enabling the UE to identify, from the UL codebook, a value for l anda TPMI to use for the UL transmission based on the bit field value, fora maximum rank value of one, according to:

Bit Field Bit Field Value partialAndNonCoherent Value nonCoherent  0 1layer: TPMI = 0 0 1 layer: TPMI = 0  1 1 layer: TPMI = 1 1 1 layer: TPMI= 1 . . . . . . . . . . . .  3 1 layer: TPMI = 3 3 1 layer: TPMI = 3  41 layer: TPMI = 13 4 1 layer: TPMI = 13  5 1 layer: TPMI = 4 5-7Reserved . . . . . . 13 1 layer: TPMI = 12 14 1 layer: TPMI = 14 15 1layer: TPMI = 15

1 layer Precoding matrix TPMI (ordered from left to right in increasingorder of TPMI index) 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}$

In one embodiment, when N=4, the method further comprises transmittingdownlink control information (DCI) including a bit field value to the UEfor enabling the UE to identify, from the UL codebook, a value for l anda TPMI to use for the UL transmission based on the bit field value, fora maximum rank value of greater than one, according to:

Bit Field Bit Field Value partialAndNonCoherent Value nonCoherent  0 1layer: TPMI = 0  0 1 layer: TPMI = 0  1 1 layer: TPMI = 1  1 1 layer:TPMI = 1 . . . . . . . . . . . .  3 1 layer: TPMI = 3  3 1 layer: TPMI =3  4 2 layers: TPMI = 0  4 2 layers: TPMI = 0 . . . . . . . . . . . .  92 layers: TPMI = 5  9 2 layers: TPMI = 5 10 3 layers: TPMI = 0 10 3layers: TPMI = 0 11 4 layers: TPMI = 0 11 4 layers: TPMI = 0 12 1 layer:TPMI = 13 12 1 layer: TPMI = 13 13 2 layer: TPMI = 6 13 2 layer: TPMI =6 14 3 layer: TPMI = 1 14 3 layer: TPMI = 1 15 1 layer: TPMI = 4 15Reserved . . . . . . 23 1 layer: TPMI = 12 24 1 layer: TPMI = 14 25 1layer: TPMI = 15 26 2 layers: TPMI = 7 . . . . . . 32 2 layers: TPMI =13 33 3 layers: TPMI = 2 34 4 layers: TPMI = 1 35 4 layers: TPMI = 236-63 Reserved

where the mapping from TPMI to precoding matrix is according to:

Precoding matrix (ordered from left to right in increasing order of TPMIindex) 1 layer, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 1 layer, TPMI 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}$ 2 layers, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 0 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\0 & 0 \\1 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & j\end{bmatrix}$ 2 layers, TPMI 8-13 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & {- 1}\end{bmatrix}$ — — 3 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ 4 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & 1 & 0 \\0 & 0 & 0 & 1\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\1 & {- 1} & 0 & 0 \\0 & 0 & 1 & {- 1}\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\j & {- j} & 0 & 0 \\0 & 0 & j & {- j}\end{bmatrix}$

Although the present disclosure has been described with an exemplaryembodiment, various changes and modifications may be suggested to oneskilled in the art. It is intended that the present disclosure encompasssuch changes and modifications as fall within the scope of the appendedclaims.

None of the description in this application should be read as implyingthat any particular element, step, or function is an essential elementthat must be included in the claims scope. The scope of patented subjectmatter is defined only by the claims. Moreover, none of the claims areintended to invoke 35 U.S.C. § 112(f) unless the exact words “means for”are followed by a participle.

What is claimed is:
 1. A user equipment (UE) for an uplink (UL)transmission, the UE comprising: a transceiver configured to: transmit,to a base station (BS), UE capability information including a full powertransmission capability of the UE, and receive, from the BS,configuration information indicating an UL codebook; and a processoroperably connected to the transceiver, the processor configured to:identify the UL codebook to use for the UL transmission based on theconfiguration information, wherein the transceiver is further configuredto transmit, to the BS, the UL transmission based on the UL codebook,wherein the UL codebook for l layers includes K_(l) full power transmitprecoding matrix indicators (TPMIs) and remaining non-full power TPMIs,where a TPMI indicates a precoding matrix for UL transmission and lindicates a rank value, wherein the full power TPMIs indicate precodingmatrices each having all non-zero rows and the non-full power TPMIsindicate precoding matrices that each have at least one row with allzeros, wherein the UL codebook is configured based on a coherencecapability included in the UE capability information, wherein when thecoherence capability is nonCoherent and N=2, K₁=1 for l=1 layer, whereinwhen the coherence capability is nonCoherent and N=4, K₁=1 for l=1, 2, 3layers, and wherein when the coherence capability ispartialAndNonCoherent and N=4, K₁=4 for l=1 layer, where N is a numberof antenna ports at the UE used for the UL transmission.
 2. The UE ofclaim 1, wherein when the coherence capability is nonCoherent and N=2:for l=1 layer, the full power TPMI included in the UL codebook isTPMI=2, which indicates a precoding matrix${\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}}.$
 3. The UE of claim 1, wherein when the coherencecapability is nonCoherent and N=4: for l=1 layer, the full power TPMIincluded in the UL codebook is TPMI=12, which indicates a precodingmatrix ${\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}},$ for l=2 layers, the full power TPMI included in the ULcodebook is TPMI=6, which indicates a precoding matrix${\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}},$ and for l=3 layers, the full power TPMI included in theUL codebook is TPMI=1, which indicates a precoding matrix${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}}.$
 4. The UE of claim 1, wherein when the coherencecapability is nonCoherent and N=2: the transceiver is further configuredto receive downlink control information (DCI) including a bit fieldvalue, and the processor is configured to identify, from the ULcodebook, a value for l and a TPMI to use for the UL transmission basedon the bit field value, for a maximum rank value of 1, according to: BitField Value nonCoherent 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 1layer: TPMI = 2,

and for a maximum rank value of 2, according to: Bit Field ValuenonCoherent 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 2 layers: TPMI = 03 1 layer: TPMI = 2

where mapping from TPMI to precoding matrix is according to: 1 layer:TPMI = 0 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\0\end{bmatrix}$ 1 layer: TPMI = 1 $\frac{1}{\sqrt{2}}\begin{bmatrix}0 \\1\end{bmatrix}$ 1 layer: TPMI = 2 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}$ 2 layers: TPMI = 0 ${\frac{1}{\sqrt{2}}\begin{bmatrix}1 & 0 \\0 & 1\end{bmatrix}}.$


5. The UE of claim 1, wherein when N=4: the transceiver is furtherconfigured to receive downlink control information (DCI) including a bitfield value, and the processor is configured to identify, from the ULcodebook, a value for 1 and a TPMI to use for the UL transmission basedon the bit field value, for a maximum rank value of one, according to:Bit Field Bit Field Value partialAndNonCoherent Value nonCoherent  0 1layer: TPMI = 0 0 1 layer: TPMI = 0  1 1 layer: TPMI = 1 1 1 layer: TPMI= 1 . . . . . . . . . . . .  3 1 layer: TPMI = 3 3 1 layer: TPMI = 3  41 layer: TPMI = 13 4 1 layer: TPMI = 13  5 1 layer: TPMI = 4 5-7Reserved . . . . . . 13 1 layer: TPMI = 12 14 1 layer: TPMI = 14 15 1layer: TPMI = 15

where mapping from TPMI to precoding matrix is according to: 1 layerPrecoding matrix TPMI (ordered from left to right in increasing order ofTPMI index) 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ ${\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}}.$


6. The UE of claim 1, wherein when N=4: the transceiver is furtherconfigured to receive downlink control information (DCI) including a bitfield value, and the processor is configured to identify, from the ULcodebook, a value for 1 and a TPMI to use for the UL transmission basedon the bit field value, for a maximum rank value of greater than one,according to: Bit Field Bit Field Value partialAndNonCoherent ValuenonCoherent  0 1 layer: TPMI = 0  0 1 layer: TPMI = 0  1 1 layer: TPMI =1  1 1 layer: TPMI = 1 . . . . . . . . . . . .  3 1 layer: TPMI = 3  3 1layer: TPMI = 3  4 2 layers: TPMI = 0  4 2 layers: TPMI = 0 . . . . . .. . . . . .  9 2 layers: TPMI = 5  9 2 layers: TPMI = 5 10 3 layers:TPMI = 0 10 3 layers: TPMI = 0 11 4 layers: TPMI = 0 11 4 layers: TPMI =0 12 1 layer: TPMI = 13 12 1 layer: TPMI = 13 13 2 layer: TPMI = 6 13 2layer: TPMI = 6 14 3 layer: TPMI = 1 14 3 layer: TPMI = 1 15 1 layer:TPMI = 4 15 Reserved ... ... 23 1 layer: TPMI = 12 24 1 layer: TPMI = 1425 1 layer: TPMI = 15 26 2 layers: TPMI = 7 ... ... 32 2 layers: TPMI =13 33 3 layers: TPMI = 2 34 4 layers: TPMI = 1 35 4 layers: TPMI = 236-63 Reserved

where mapping from TPMI to precoding matrix is according to: Precodingmatrix (ordered from left to right in increasing order of TPMI index) 1layer, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 1 layer, TPMI 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}$ 2 layers, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 0 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\0 & 0 \\1 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & j\end{bmatrix}$ 2 layers, TPMI 8-13 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & {- 1}\end{bmatrix}$ — — 3 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ 4 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & 1 & 0 \\0 & 0 & 0 & 1\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\1 & {- 1} & 0 & 0 \\0 & 0 & 1 & {- 1}\end{bmatrix}$ ${\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\j & {- j} & 0 & 0 \\0 & 0 & j & {- j}\end{bmatrix}}.$


7. A base station (BS) comprising: a transceiver configured to receive,from a user equipment (UE), UE capability information including a fullpower transmission capability of the UE, and a processor operablyconnected to the transceiver, the processor configured to determineconfiguration information indicating an uplink (UL) codebook for the UEto apply to a UL transmission; and wherein the transceiver is furtherconfigured to: transmit, to the UE, the configuration informationindicating the UL codebook for the UL transmission; receive, from theUE, the UL transmission based on the UL codebook, wherein the ULcodebook for l layers includes K_(l) full power transmit precodingmatrix indicators (TPMIs) and remaining non-full power TPMIs, where aTPMI indicates a precoding matrix for UL transmission and l indicates arank value, wherein the full power TPMIs indicate precoding matriceseach having all non-zero rows and the non-full power TPMIs indicateprecoding matrices that each have at least one row with all zeros,wherein the UL codebook is configured based on a coherence capabilityincluded in the UE capability information, wherein when the coherencecapability is nonCoherent and N=2, K₁=1 for l=1 layer, wherein when thecoherence capability is nonCoherent and N=4, K₁=1 for l=1, 2, 3 layers,and wherein when the coherence capability is partialAndNonCoherent andN=4, K₁=4 for l=1 layer, where N is a number of antenna ports at the UEused for the UL transmission.
 8. The BS of claim 7, wherein when thecoherence capability is nonCoherent and N=2: for l=1 layer, the fullpower TPMI included in the UL codebook is TPMI=2, which indicates aprecoding matrix ${\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}}.$
 9. The BS of claim 7, wherein when the coherencecapability is nonCoherent and N=4: for l=1 layer, the full power TPMIincluded in the UL codebook is TPMI=12, which indicates a precodingmatrix ${\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}},$ for l=2 layers, the full power TPMI included in the ULcodebook is TPMI=6, which indicates a precoding matrix and${\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}},$ for l=3 layers, the full power TPMI included in the ULcodebook is TPMI=1, which indicates a precoding matrix${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}}.$
 10. The BS of claim 7, wherein when the coherencecapability is nonCoherent and N=2: the transceiver is further configuredto transmit downlink control information (DCI) including a bit fieldvalue to the UE for enabling the UE to identify, from the UL codebook, avalue for l and a TPMI to use for the UL transmission based on the bitfield value, for a maximum rank value of 1, according to: Bit FieldValue nonCoherent 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 1 layer:TPMI = 2,

and for a maximum rank value of 2, according to: Bit Field ValuenonCoherent 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 2 layers: TPMI = 03 1 layer: TPMI = 2

where mapping from TPMI to precoding matrix is according to: 1 layer:TPMI = 0 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\0\end{bmatrix}$ 1 layer: TPMI = 1 $\frac{1}{\sqrt{2}}\begin{bmatrix}0 \\1\end{bmatrix}$ 1 layer: TPMI = 2 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}$ 2 layers: TPMI = 0 ${\frac{1}{\sqrt{2}}\begin{bmatrix}1 & 0 \\0 & 1\end{bmatrix}}.$


11. The BS of claim 7, wherein when N=4: the transceiver is furtherconfigured to transmit downlink control information (DCI) including abit field value to the UE for enabling the UE to identify, from the ULcodebook, a value for l and a TPMI to use for the UL transmission basedon the bit field value, for a maximum rank value of one, according to:Bit Field Bit Field Value partialAndNonCoherent Value nonCoherent  0 1layer: TPMI = 0 0 1 layer: TPMI = 0  1 1 layer: TPMI = 1 1 1 layer: TPMI= 1 . . . . . . . . . . . .  3 1 layer: TPMI = 3 3 1 layer: TPMI = 3  41 layer: TPMI = 13 4 1 layer: TPMI = 13  5 1 layer: TPMI = 4 5-7Reserved . . . . . . 13 1 layer: TPMI = 12 14 1 layer: TPMI = 14 15 1layer: TPMI = 15

where mapping from TPMI to precoding matrix is according to: 1 layerPrecoding matrix TPMI (ordered from left to right in increasing order ofTPMI index) 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ ${\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}}.$


12. The BS of claim 7, wherein when N=4: the transceiver is furtherconfigured to transmit downlink control information (DCI) including abit field value to the UE for enabling the UE to identify, from the ULcodebook, a value for l and a TPMI to use for the UL transmission basedon the bit field value, for a maximum rank value of greater than one,according to: Bit Field Bit Field Value partialAndNonCoherent ValuenonCoherent  0 1 layer: TPMI = 0  0 1 layer: TPMI = 0  1 1 layer: TPMI =1  1 1 layer: TPMI = 1 . . . . . . . . . . . .  3 1 layer: TPMI = 3  3 1layer: TPMI = 3  4 2 layers: TPMI = 0  4 2 layers: TPMI = 0 . . . . . .. . . . . .  9 2 layers: TPMI = 5  9 2 layers: TPMI = 5 10 3 layers:TPMI = 0 10 3 layers: TPMI = 0 11 4 layers: TPMI = 0 11 4 layers: TPMI =0 12 1 layer: TPMI = 13 12 1 layer: TPMI = 13 13 2 layer: TPMI = 6 13 2layer: TPMI = 6 14 3 layer: TPMI = 1 14 3 layer: TPMI = 1 15 1 layer:TPMI = 4 15 Reserved . . . . . . 23 1 layer: TPMI = 12 24 1 layer: TPMI= 14 25 1 layer: TPMI = 15 26 2 layers: TPMI = 7 . . . . . . 32 2layers: TPMI = 13 33 3 layers: TPMI = 2 34 4 layers: TPMI = 1 35 4layers: TPMI = 2 36-63 Reserved

where mapping from TPMI to precoding matrix is according to: Precodingmatrix (ordered from left to right in increasing order of TPMI index) 1layer, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 1 layer, TPMI 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}$ 2 layers, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 0 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\0 & 0 \\1 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & j\end{bmatrix}$ 2 layers, TPMI 8-13 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & {- 1}\end{bmatrix}$ — — 3 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ 4 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & 1 & 0 \\0 & 0 & 0 & 1\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\1 & {- 1} & 0 & 0 \\0 & 0 & 1 & {- 1}\end{bmatrix}$ ${\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\j & {- j} & 0 & 0 \\0 & 0 & j & {- j}\end{bmatrix}}.$


13. A method for operating a user equipment (UE) for an uplink (UL)transmission, the method comprising: transmitting, to a base station(BS), UE capability information including a full power transmissioncapability of the UE; receiving, from the BS, configuration informationindicating an UL codebook; and identifying the UL codebook to use forthe UL transmission based on the configuration information; andtransmitting, to the BS, the UL transmission based on the UL codebook,wherein the UL codebook for l layers includes K_(l) full power transmitprecoding matrix indicators (TPMIs) and remaining non-full power TPMIs,where a TPMI indicates a precoding matrix for UL transmission and lindicates a rank value, wherein the full power TPMIs indicate precodingmatrices each having all non-zero rows and the non-full power TPMIsindicate precoding matrices that each have at least one row with allzeros, wherein the UL codebook is configured based on a coherencecapability included in the UE capability information, wherein when thecoherence capability is nonCoherent and N=2, K₁=1 for l=1 layer, whereinwhen the coherence capability is nonCoherent and N=4, K₁=1 for l=1, 2, 3layers, and wherein when the coherence capability ispartialAndNonCoherent and N=4, K₁=4 for l=1 layer, where N is a numberof antenna ports at the UE used for the UL transmission.
 14. The methodof claim 13, wherein when the coherence capability is nonCoherent andN=2: for l=1 layer, the full power TPMI included in the UL codebook isTPMI=2, which indicates a precoding matrix${\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}}.$
 15. The UE of claim 13, wherein when the coherencecapability is nonCoherent and N=4: for l=1 layer, the full power TPMIincluded in the UL codebook is TPMI=12, which indicates a precodingmatrix ${\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}},$ for l=2 layers, the full power TPMI included in the ULcodebook is TPMI=6, which indicates a precoding matrix and${\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}},$ for l=3 layers, the full power TPMI included in the ULcodebook is TPMI=1, which indicates a precoding matrix${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}}.$
 16. The method of claim 13, wherein when the coherencecapability is nonCoherent and N=2, the method comprises: receivingdownlink control information (DCI) including a bit field value; andidentifying, from the UL codebook, a value for l and a TPMI to use forthe UL transmission based on the bit field value, for a maximum rankvalue of 1, according to: Bit Field Value non Coherent 0 1 layer: TPMI =0 1 1 layer: TPMI = 1 2  1 layer: TPMI = 2,

and for a maximum rank value of 2, according to: Bit Field Value nonCoherent 0 1 layer: TPMI = 0 1 1 layer: TPMI = 1 2 2 layers: TPMI = 0  31 layer: TPMI = 2

where mapping from TPMI to precoding matrix is according to: 1 layer:TPMI = 0 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\0\end{bmatrix}$ 1 layer: TPMI = 1 $\frac{1}{\sqrt{2}}\begin{bmatrix}0 \\1\end{bmatrix}$ 1 layer: TPMI = 2 $\frac{1}{\sqrt{2}}\begin{bmatrix}1 \\1\end{bmatrix}$ 2 layers: TPMI = 0 ${\frac{1}{\sqrt{2}}\begin{bmatrix}1 & 0 \\0 & 1\end{bmatrix}}.$


17. The method of claim 13, wherein when N=4, the method furthercomprises receiving downlink control information (DCI) including a bitfield value; and identifying, from the UL codebook, a value for 1 and aTPMI to use for the UL transmission based on the bit field value, for amaximum rank value of one, according to: Bit Field Bit Field ValuepartialAndNonCoherent Value nonCoherent  0 1 layer: TPMI = 0 0 1 layer:TPMI = 0  1 1 layer: TPMI = 1 1 1 layer: TPMI = 1 . . . . . . . . . . ..  3 1 layer: TPMI = 3 3 1 layer: TPMI = 3  4 1 layer: TPMI = 13 4 1layer: TPMI = 13  5 1 layer: TPMI = 4 5-7 Reserved . . . . . . 13 1layer: TPMI = 12 14 1 layer: TPMI = 14 15 1 layer: TPMI = 15

where mapping from TPMI to precoding matrix is according to: 1 layerPrecoding matrix TPMI (ordered from left to right in increasing order ofTPMI index) 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ ${\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}}.$


18. The method of claim 13, wherein when N=4, the method furthercomprises receiving downlink control information (DCI) including a bitfield value; and identifying, from the UL codebook, a value for l and aTPMI to use for the UL transmission based on the bit field value, for amaximum rank value of one, according to: Bit Field Bit Field ValuepartialAndNonCoherent Value nonCoherent  0 1 layer: TPMI = 0  0 1 layer:TPMI = 0  1 1 layer: TPMI = 1  1 1 layer: TPMI = 1 . . . . . . . . . . ..  3 1 layer: TPMI = 3  3 1 layer: TPMI = 3  4 2 layers: TPMI = 0  4 2layers: TPMI = 0 . . . . . . . . . . . .  9 2 layers: TPMI = 5  9 2layers: TPMI = 5 10 3 layers: TPMI = 0 10 3 layers: TPMI = 0 11 4layers: TPMI = 0 11 4 layers: TPMI = 0 12 1 layer: TPMI = 13 12 1 layer:TPMI = 13 13 2 layer: TPMI = 6 13 2 layer: TPMI = 6 14 3 layer: TPMI = 114 3 layer: TPMI = 1 15 1 layer: TPMI = 4 15 Reserved . . . . . . 23 1layer: TPMI = 12 24 1 layer: TPMI = 14 25 1 layer: TPMI = 15 26 2layers: TPMI = 7 . . . . . . 32 2 layers: TPMI = 13 33 3 layers: TPMI =2 34 4 layers: TPMI = 1 35 4 layers: TPMI = 2 36-63 Reserved

where mapping from TPMI to precoding matrix is according to: Precodingmatrix (ordered from left to right in increasing order of TPMI index) 1layer, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 \\0 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\0 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\1 \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- 1} \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\j \\0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\0 \\{- j} \\0\end{bmatrix}$ 1 layer, TPMI 8-15 $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 \\1 \\0 \\{- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\1 \\1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\j \\j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- 1} \\{- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 \\1 \\{- j} \\{- j}\end{bmatrix}$ 2 layers, TPMI 0-7 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 0 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 1 \\0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\1 & 0 \\0 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 \\0 & 0 \\1 & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & j\end{bmatrix}$ 2 layers, TPMI 8-13 $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & {- 1}\end{bmatrix}$ — — 3 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ 4 layers, TPMI 0-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & 1 & 0 \\0 & 0 & 0 & 1\end{bmatrix}$ $\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\1 & {- 1} & 0 & 0 \\0 & 0 & 1 & {- 1}\end{bmatrix}$ ${\frac{1}{2\sqrt{2}}\begin{bmatrix}1 & 1 & 0 & 0 \\0 & 0 & 1 & 1 \\j & {- j} & 0 & 0 \\0 & 0 & j & {- j}\end{bmatrix}}.$